Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

Polynomials, Cubic Equations and Partial Fractions - Remainder and Factor Theorems

TGM Original Questions

Find the value of \(a\) such that the remainder is \(3\) when \(4{{x}^{3}}+\left( 2a-1 \right){{x}^{2}}-3x-6\) is divided by \(x-2\).

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Answer:\(a = -\frac{13}{8}\)

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