Question

$x–2$ is a factor of $x^3–2x–4$.

• A. True
• B. False

Answer 1

The correct option is A

True

Let $P\left(x\right)=x^3–2x–4$.

The value of P(2) =

$2^3-2\times 2-4=0$

This means that when the polynomial is divided by x – 2, the remainder is zero.

So, $(x–2)$ is a factor of the polynomial.