Factor X^3-2x^2-8x???

Question

asked Nov 12, 2023 16.1k views

2 Answers

Vladimir Tsukanov · Answer 1 · 2023-11-16T11:08:34+0000

Answer:

x(x+2)(x-4)

Explanation:

Given:

x^3-2x^2-8x

Factor out the common term x:

$\implies x(x^2-2x-8)$

Factor (x² - 2x - 8) by rewriting -2x as (-4x + 2x):

$\implies x \left[ x^2-4x+2x-8 \right]$

Factor the first two terms and the last two terms separately:

$\implies x \left[x(x-4)+2(x-4) \right]$

Factor out the common term (x - 4):

$\implies x \left[ (x+2)(x-4) \right]$

Therefore:

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