Question

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

Answer 1

Answer:Cannot be factored

Explanation:

Answer 2

`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)`