Find the value of $k$ for which $x+4$ is a factor of \(\mathrm{f}\left( x \right)=2{{x}^{3}}+k{{

Question

Find the value of $k$ for which $x+4$ is a factor of $\mathrm{f}\left( x \right)=2{{x}^{3}}+k{{x}^{2}}-3x+k$. Hence, find the remainder when $\mathrm{f}\left( x \right)$ is divided by $3x-2$.

Accepted Answer

$k = \frac{116}{17}$, Remainder $= \frac{3878}{459}$

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