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 that \(2{{x}^{3}}+{{x}^{2}}-3x-4\equiv (2x+A)(x+1)(x-3)+B(x+1)+C\) for all values of \(x\). Find the values of \(A\), \(B\) and \(C\).

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Answer:\(A=5,\ B=13,\ C=-2\)

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