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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=492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4}{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:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_des|text=|trigger=button}{sub-section}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_des|trigger=none|class=sIndent}Adds another polynomial to this polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_prs|trigger=none}polynomial
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_ret|text=|trigger=button}{sub-section}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_see|text=|trigger=button}{sub-section}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_see|text=|trigger=button}{sub-section}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_sam|text=|trigger=button}{sub-section}{sub-section:492CF85DE945CBAD-BBAC6C24-47334C91-92ECA40F-28BAD8607DEF0C14B41008A4_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=181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8}{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:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_des|text=|trigger=button}{sub-section}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_des|trigger=none|class=sIndent}Adds a term to this polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_ret|text=|trigger=button}{sub-section}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_see|text=|trigger=button}{sub-section}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_see|text=|trigger=button}{sub-section}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_sam|text=|trigger=button}{sub-section}{sub-section:181849997EE5D211-89C5005B-45224DAC-A0A085A5-BCDE3F293FF75244563813C8_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=3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D}{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:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_des|text=|trigger=button}{sub-section}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_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:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_prs|trigger=none}startValue
error
iterations
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_ret|text=|trigger=button}{sub-section}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_see|text=|trigger=button}{sub-section}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_see|text=|trigger=button}{sub-section}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_sam|text=|trigger=button}{sub-section}{sub-section:3C5F007F33079F42-48C365EA-47264576-9A698FDE-F5E6D12A7EDCC31D5EB2463D_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=9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E}{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:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_des|text=|trigger=button}{sub-section}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_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:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_ret|text=|trigger=button}{sub-section}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_ret|trigger=none|class=sIndent}[Polynomial]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_see|text=|trigger=button}{sub-section}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_see|text=|trigger=button}{sub-section}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_sam|text=|trigger=button}{sub-section}{sub-section:9DF6AC080295BA70-6915911D-42514B72-B446A82A-478A00E5C8BE12E173C3850E_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=BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597}{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:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_des|text=|trigger=button}{sub-section}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_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:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_ret|text=|trigger=button}{sub-section}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_see|text=|trigger=button}{sub-section}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_see|text=|trigger=button}{sub-section}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_sam|text=|trigger=button}{sub-section}{sub-section:BF1E287749FC8021-D68F484C-4B7C424E-A852881F-C56BCA38C8A47A4B1927E597_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=3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9}{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:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_des|text=|trigger=button}{sub-section}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_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:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_prs|trigger=none}x
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_ret|text=|trigger=button}{sub-section}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_ret|trigger=none|class=sIndent}[Number]{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_see|text=|trigger=button}{sub-section}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_see|text=|trigger=button}{sub-section}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_sam|text=|trigger=button}{sub-section}{sub-section:3D893324B07ED49B-7AA0C644-428C42B3-ACACAEA6-6A96C8CEBFC918FBA8B253F9_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=8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02}{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:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_des|text=|trigger=button}{sub-section}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_des|trigger=none|class=sIndent}Multiplies this polynomial with another polynomial.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_prs|trigger=none}polynomial
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_ret|text=|trigger=button}{sub-section}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_see|text=|trigger=button}{sub-section}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_see|text=|trigger=button}{sub-section}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_sam|text=|trigger=button}{sub-section}{sub-section:8A796D09A660B8F9-D82710AE-41BE4BF6-8844BE1B-118872D57F21F2D8B3C2CB02_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=2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2}{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:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_des|text=|trigger=button}{sub-section}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_des|trigger=none|class=sIndent}Multiples this polynomial with a term.{sub-section}{td}{tr}{tr:id=prs}{td}*Parameters*\\{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_prs|trigger=none}coefficient
exponent
{sub-section}{div}{td}{tr}{tr:id=ret}{td}*Returns*\\{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_ret|text=|trigger=button}{sub-section}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_see|text=|trigger=button}{sub-section}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_see|text=|trigger=button}{sub-section}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_sam|text=|trigger=button}{sub-section}{sub-section:2CB97081F6A97632-F3E97A42-40294D9E-8B91BE76-97835FDEA3064BF9E97E66E2_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=0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660}{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:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_des|text=|trigger=button}{sub-section}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_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:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_prs|text=|trigger=button}{sub-section}{div:class=sIndent}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_prs|trigger=none}{sub-section}{div}{td}{tr}{builder-show}{tr:id=ret}{td}*Returns*\\{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_ret|text=|trigger=button}{sub-section}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_ret|trigger=none|class=sIndent}void{sub-section}{td}{tr}{builder-show:permission=edit}{tr:id=see}{td}*Also see*\\{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_see|text=|trigger=button}{sub-section}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_see|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{builder-show:permission=edit}{tr:id=link}{td}*External links*\\{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_see|text=|trigger=button}{sub-section}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_link|class=sIndent|trigger=none}{sub-section}{td}{tr}{builder-show}{tr:id=sam}{td}*Sample*\\{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_sam|text=|trigger=button}{sub-section}{sub-section:0BE3BFC40047D97A-A5BE4FF3-448C401E-A5E9BAD8-47EA2D84C0455773F29F4660_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}