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

Determine the values of the unknown constants \(a\), \(b\), and \(c\) in \(3{{x}^{3}}-4{{x}^{2}}-35x+12=\left( x+3 \right)\left( a{{x}^{2}}+bx+c \right)\).

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Answer:\(a = 3\), \(b = -13\) and \(c = 4\)

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