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DO NOT EDIT THE CONTENT OF THIS PAGE DIRECTLY, UNLESS YOU KNOW WHAT YOU'RE DOING.
		THE STRUCTURE OF THE CONTENT IS VITAL IN BEING ABLE TO EXTRACT CHANGES FROM THE PAGE AND MERGE THEM BACK INTO SERVOY SOURCE{hidden}
{sub-section:description|text=}{sub-section}\\ 

{table:class=servoy sSummery}{colgroup}{column:width=80px}{column}{column}{column}{colgroup}{tr:style=height: 30px;}{th:colspan=2}Method Summary{th}{tr}{tbody}{tr}{td}void{td}{td}[#addPolynomial]\(polynomial)
Adds another polynomial to this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#addTerm]\(coefficient, exponent)
Adds a term to this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#findRoot]\(startValue, error, iterations)
Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.{td}{tr}{tbody}{tbody}{tr}{td}[Polynomial]{td}{td}[#getDerivative]\()
Returns a polynomial that holds the derivative of this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#getDerivativeValue]\(x)
Returns the value of the derivative of this polynomial in a certain point.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#getValue]\(x)
Returns the value of this polynomial in a certain point.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#multiplyByPolynomial]\(polynomial)
Multiplies this polynomial with another polynomial.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#multiplyByTerm]\(coefficient, exponent)
Multiples this polynomial with a term.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#setToZero]\()
Sets this polynomial to zero.{td}{tr}{tbody}{table}\\ 

{table:class=servoy sDetail}{colgroup}{column:width=100%}{column}{colgroup}{tr:style=height: 30px;}{th:colspan=1}Method Details{th}{tr}{tbody:id=7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4}{tr:id=name}{td}h6.addPolynomial{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}addPolynomial{span}{span:id=iets|style=float: left;}\(polynomial){span}{td}{tr}{tr:id=des}{td}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_des|text=|trigger=button}{sub-section}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_des|trigger=none|class=sIndent}Adds another polynomial to this polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_prs|trigger=none}polynomial
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_ret|text=|trigger=button}{sub-section}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_see|text=|trigger=button}{sub-section}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_see|text=|trigger=button}{sub-section}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_sam|text=|trigger=button}{sub-section}{sub-section:7916F7FE8899B303-E038C96A-42EA4D56-94A9B614-69A5C289B54A23520BC6C2B4_sam|class=sIndent|trigger=none}{code:language=javascript}
// (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
	var base = plugins.amortization.newPolynomial();
	base.addTerm(1, 1);
	base.addTerm(1, 0);
	base.multiplyByTerm(1, i);
	base.multiplyByTerm(i + 1, 0);
	eq.addPolynomial(base);
}
application.output(eq.getValue(2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7}{tr:id=name}{td}h6.addTerm{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}addTerm{span}{span:id=iets|style=float: left;}\(coefficient, exponent){span}{td}{tr}{tr:id=des}{td}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_des|text=|trigger=button}{sub-section}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_des|trigger=none|class=sIndent}Adds a term to this polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_ret|text=|trigger=button}{sub-section}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_see|text=|trigger=button}{sub-section}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_see|text=|trigger=button}{sub-section}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_sam|text=|trigger=button}{sub-section}{sub-section:2C30FFD7A02AA403-FCB946A5-4EFC4AC3-B26588A2-C418C7C6775D95A34E61F8C7_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7}{tr:id=name}{td}h6.findRoot{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}findRoot{span}{span:id=iets|style=float: left;}\(startValue, error, iterations){span}{td}{tr}{tr:id=des}{td}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_des|text=|trigger=button}{sub-section}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_des|trigger=none|class=sIndent}Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_prs|trigger=none}startValue
error
iterations
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_ret|text=|trigger=button}{sub-section}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_see|text=|trigger=button}{sub-section}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_see|text=|trigger=button}{sub-section}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_sam|text=|trigger=button}{sub-section}{sub-section:9A0B9BB97ADAEF37-36B5BDDB-4FBA410C-8EC0B912-9ED85FC0AE2184B03B80DBA7_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6}{tr:id=name}{td}h6.getDerivative{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Polynomial]{span}{span:id=iets|style=float: left; font-weight: bold;}getDerivative{span}{span:id=iets|style=float: left;}\(){span}{td}{tr}{tr:id=des}{td}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_des|text=|trigger=button}{sub-section}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_des|trigger=none|class=sIndent}Returns a polynomial that holds the derivative of this polynomial.{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=prs}{td}*Parameters*\\{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_ret|text=|trigger=button}{sub-section}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_ret|trigger=none|class=sIndent}[Polynomial]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_see|text=|trigger=button}{sub-section}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_see|text=|trigger=button}{sub-section}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_sam|text=|trigger=button}{sub-section}{sub-section:B2AF0C1D90C2DBF9-BBE287CA-4FD64111-89D9AE58-FA71165951F4B5EF69AE34C6_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009}{tr:id=name}{td}h6.getDerivativeValue{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}getDerivativeValue{span}{span:id=iets|style=float: left;}\(x){span}{td}{tr}{tr:id=des}{td}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_des|text=|trigger=button}{sub-section}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_des|trigger=none|class=sIndent}Returns the value of the derivative of this polynomial in a certain point.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_ret|text=|trigger=button}{sub-section}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_see|text=|trigger=button}{sub-section}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_see|text=|trigger=button}{sub-section}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_sam|text=|trigger=button}{sub-section}{sub-section:4964EDCAD01A0435-240FAB5D-4EEA4CC2-BBBE8C81-53E9F29F108BF093A4052009_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD}{tr:id=name}{td}h6.getValue{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}[Number]{span}{span:id=iets|style=float: left; font-weight: bold;}getValue{span}{span:id=iets|style=float: left;}\(x){span}{td}{tr}{tr:id=des}{td}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_des|text=|trigger=button}{sub-section}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_des|trigger=none|class=sIndent}Returns the value of this polynomial in a certain point.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_ret|text=|trigger=button}{sub-section}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_see|text=|trigger=button}{sub-section}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_see|text=|trigger=button}{sub-section}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_sam|text=|trigger=button}{sub-section}{sub-section:BA68A41935F338EB-6B7662A7-45784314-86DB9D58-FA341D57FAD451DB875A4CAD_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF}{tr:id=name}{td}h6.multiplyByPolynomial{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}multiplyByPolynomial{span}{span:id=iets|style=float: left;}\(polynomial){span}{td}{tr}{tr:id=des}{td}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_des|text=|trigger=button}{sub-section}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_des|trigger=none|class=sIndent}Multiplies this polynomial with another polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_prs|trigger=none}polynomial
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_ret|text=|trigger=button}{sub-section}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_see|text=|trigger=button}{sub-section}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_see|text=|trigger=button}{sub-section}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_sam|text=|trigger=button}{sub-section}{sub-section:68ACC1E03D5B3773-0F254313-4BA64B59-9C9488A6-A11F6BF4762F32912FA3D7DF_sam|class=sIndent|trigger=none}{code:language=javascript}
// Model the quadratic equation (x+1)*(x+2) = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(1, 1);
eq.addTerm(1, 0);
var eq2 = plugins.amortization.newPolynomial();
eq2.addTerm(1, 1);
eq2.addTerm(2, 0);
eq.multiplyByPolynomial(eq2);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA}{tr:id=name}{td}h6.multiplyByTerm{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}multiplyByTerm{span}{span:id=iets|style=float: left;}\(coefficient, exponent){span}{td}{tr}{tr:id=des}{td}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_des|text=|trigger=button}{sub-section}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_des|trigger=none|class=sIndent}Multiples this polynomial with a term.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_ret|text=|trigger=button}{sub-section}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_see|text=|trigger=button}{sub-section}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_see|text=|trigger=button}{sub-section}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_sam|text=|trigger=button}{sub-section}{sub-section:332F3635047134E6-0C801248-4ED54ED8-A2E49C42-A8BD54AD9999177392F69ACA_sam|class=sIndent|trigger=none}{code:language=javascript}
// (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
	var base = plugins.amortization.newPolynomial();
	base.addTerm(1, 1);
	base.addTerm(1, 0);
	base.multiplyByTerm(1, i);
	base.multiplyByTerm(i + 1, 0);
	eq.addPolynomial(base);
}
application.output(eq.getValue(2));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108}{tr:id=name}{td}h6.setToZero{td}{tr}{tr:id=sig}{td}{span:style=float: left; margin-right: 5px;}void{span}{span:id=iets|style=float: left; font-weight: bold;}setToZero{span}{span:id=iets|style=float: left;}\(){span}{td}{tr}{tr:id=des}{td}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_des|text=|trigger=button}{sub-section}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_des|trigger=none|class=sIndent}Sets this polynomial to zero.{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=prs}{td}*Parameters*\\{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_ret|text=|trigger=button}{sub-section}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_see|text=|trigger=button}{sub-section}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_see|text=|trigger=button}{sub-section}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_sam|text=|trigger=button}{sub-section}{sub-section:F17405180E6C9600-DE992868-49164987-B042B72B-F0B6092B7C04EFCF95B56108_sam|class=sIndent|trigger=none}{code:language=javascript}
var eq = plugins.amortization.newPolynomial();
eq.addTerm(2, 3);
application.output(eq.getValue(1.1));
eq.setToZero();
application.output(eq.getValue(1.1));
{code}{sub-section}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{table}