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

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

TGM Original Questions

Determine the values of \(a\) and \(b\) for which \(5{{x}^{2}}+4x-1\) is a factor of \(10{{x}^{3}}+a{{x}^{2}}+7x+b\).

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Answer:\({a = \frac{77}{4}, b = -\frac{9}{4}}\)

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