Application Sum and Product of Cubic and Quartic Polynomial Roots GCSE IBSL Anil Kumar MHF4U
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4 سال پیش
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Polynomial Equation Applications:
Polynomial Equation Applications: Polynomial Equations and Inequalities...
YouTube Channel: @mathematicstutor
Learn From Anil Kumar: [email protected]
#mhf4u_polynomials #polynomial_divisionstatement #polynomial_syntheticdivision #polynomial_longdivision #polynomialdivision #polynomial_factoring #MHF4U #AdvancedFunctions #remaindertheorem #factortheorem #polynomial_application #polynomial_equation
Descartes’ Rule of Sign
f(x)=a_n x^n+a_(n-1) x^(n-1)+a_(n-1) x^(n-1)+⋯+a_2 x^2+a_1 x+a_0,x∈C
NOTE: Polynomial should be written in standard form with nonzero terms in the decreasing powers of single variable exponent.
Positive Real Roots
The number of positive real roots of polynomial f(x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.
Negative Real Roots
The number of negative real roots polynomial f(-x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.
YouTube Channel: @mathematicstutor
Learn From Anil Kumar: [email protected]
#mhf4u_polynomials #polynomial_divisionstatement #polynomial_syntheticdivision #polynomial_longdivision #polynomialdivision #polynomial_factoring #MHF4U #AdvancedFunctions #remaindertheorem #factortheorem #polynomial_application #polynomial_equation
Descartes’ Rule of Sign
f(x)=a_n x^n+a_(n-1) x^(n-1)+a_(n-1) x^(n-1)+⋯+a_2 x^2+a_1 x+a_0,x∈C
NOTE: Polynomial should be written in standard form with nonzero terms in the decreasing powers of single variable exponent.
Positive Real Roots
The number of positive real roots of polynomial f(x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.
Negative Real Roots
The number of negative real roots polynomial f(-x) is either equal to number of sign changes between the consecutive coefficients, or less than it by an even number.
4 سال پیش
در تاریخ 1399/11/19 منتشر شده
است.
923
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