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

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

Secondary 3

The expression \({{x}^{3}}+\left( b-2a \right){{x}^{2}}+\left( a-b \right)x-6\) has a factor of \({{x}^{2}}+4x+3\). Find the value of \(a\) and of \(b\).

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Answer:\(a=3,\ b=8\)

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