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

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

TGM Original Questions

The polynomial \(4{{x}^{3}}+a{{x}^{2}}+3x+b\) is exactly divisible by \(2{{x}^{2}}+3x+1\). Find the value of \(a\) and \(b\).

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Answer:\(a=\dfrac{20}{3}\), \(b=\dfrac13\)

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