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 \(0\) when \(5{{x}^{3}}+\left( 3a+1 \right){{x}^{2}}-2x-7\) is divided by \(x+4\).

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Answer:\(a = \frac{101}{16}\)

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