The expression $\mathrm{f}\left( x \right)={{x}^{3}}+a{{x}^{2}}+2x+b$ has a factor of $x-4$ and

Question

The expression $\mathrm{f}\left( x \right)={{x}^{3}}+a{{x}^{2}}+2x+b$ has a factor of $x-4$ and leaves a remainder of $12$ when divided by $x+1$. Find the values of $a$ and $b$.

Accepted Answer

$a = -\frac{29}{5}$, $b = \frac{104}{5}$

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

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

Video Solution:

Solution:

Solution locked