Question

$x$ – 2 is a factor of $x^3$ – 2$x$ – 4.

• A. True
• B. False

Answer 1

The correct option is A

True

Consider p($x$) = $x^3$ – 2$x$ – 4

The value of p(2) = $2^3$ - 2(2) - 4 = 0

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

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