Question

Determine whether the binomial is a factor of f(x). f(x) = x3 + 11x2 + 24x - 36; x - 4

Answer 1

If it is, then $f(4)$ would be equal $0$.

$f(4)=4^3+11\cdot4^2+24\cdot4-36\\ f(4)=64+11\cdot16+96-36\\ f(4)=124+176\\ f(4)=300\not =0 \Rightarrow \text{ it isn't}$