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

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

The remainder when \({{x}^{3}}-3{{x}^{2}}-2x+a\) is divided by \(x+2\) is twice the remainder when it is divided by \(x+3\). Find the value of \(a\).

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Answer:a=80.

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