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

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Answer:\({a = -\frac{7}{4}, b = \frac{3}{4}}\)

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