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