Polynomials, Cubic Equations and Partial Fractions - Comparing Coefficients in Polynomial Identities

Polynomials, Cubic Equations and Partial Fractions - Comparing Coefficients in Polynomial Identities

Secondary 3

Given that \(3{{x}^{3}}+4{{x}^{2}}-5x+2=(Ax+1)(x+2)(x+B)+C\) for all values of \(x\), find the value of \(A\), \(B\) and \(C\).

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Answer:\(A=3\), \(B=-1\), \(C=4\)

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