Question

factor completely, or state that the polynomial is prime.
$2x^{3}-8x$
select the correct choice below and fill in any answer boxes within your choice.
a. $2x^{3}-8x=\square$
b. the polynomial is prime.

Explanation:

Step1: Factor out GCF

$2x^3 - 8x = 2x(x^2 - 4)$

Step2: Apply difference of squares

$x^2 - 4 = (x+2)(x-2)$

Step3: Combine factors

$2x(x^2 - 4) = 2x(x+2)(x-2)$

Answer:

$2x(x+2)(x-2)$