Find the value of $k$ for which $x-3$ is a factor of \(\mathrm{f}(x)=3{{x}^{3}}+k{{x}^{2}}-5x+k\

Question

Find the value of $k$ for which $x-3$ is a factor of $\mathrm{f}(x)=3{{x}^{3}}+k{{x}^{2}}-5x+k$. Hence, find the remainder when $\mathrm{f}(x)$ is divided by $2x+1$

Accepted Answer

$k=-\frac{33}{5}$ Remainder $=-\frac{49}{8}$

Finding an Unknown Value using Factor Theorem

Finding an Unknown Value using Factor Theorem

Video Solution:

Solution:

Solution locked