Question

Is ( x- 3) a factor of x^3 + 4x^2 + 2?

Answer 1

if \(\Large ( x- 3)\) is a factor of
\(\Large\rm \begin{align} \color{black}{x^3 + 4x^2 + 2}\end{align}\)
then it must satisfy
\(\Large \begin{align} \color{black}{f(3)=x^3 + 4x^2 + 2=0}\end{align}\)