The expression $\mathrm{f}\left( x \right)={{x}^{3}}+2a{{x}^{2}}+bx-5$ has a factor of $x-1$ and

Question

The expression $\mathrm{f}\left( x \right)={{x}^{3}}+2a{{x}^{2}}+bx-5$ has a factor of $x-1$ and leaves a remainder of $10$ when divided by $x+2$. Find the values of $a$ and $b$.

Accepted Answer

$a = \frac{31}{12}$, $b = -\frac{7}{6}$

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

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

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