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

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

TGM Original Questions

If \(3{{x}^{3}}+7{{x}^{2}}+4x-5=\left( Bx+4 \right)\left( x+2 \right)\left( x-1 \right)+Cx+D\) for all real values of \(x\), determine the values of \(B\), \(C\), and \(D\).

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Answer:\(B = 3, C = 6 \) and \( D = 3\)

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