Polynomials, Cubic Equations and Partial Fractions - Comparing Coefficients in Polynomial Identities
Polynomials, Cubic Equations and Partial Fractions - Comparing Coefficients in Polynomial Identities
IP 3
Given the identity \(A{{x}^{3}}+{{x}^{2}}-2x-3\equiv (3x+B)(x-1)(x+2)+C(x-1)+D\), find the values of the constants \(A\), \(B\), \(C\) and \(D\).
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Answer:\(A=3,\ B=-2,\ C=6,\ D=-1\)
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