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

Find the values of the unknown constants \(a\), \(b\) and \(c\) in \(4{{x}^{3}}-9{{x}^{2}}-2x+7=\left( x-1 \right)\left( a{{x}^{2}}+bx+c \right)\).

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Answer:\(a = 4\), \(b = -5\) and \(c = -7\)

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