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

2 Answers

4 votes

Answer:Cannot be factored

Explanation:

User Mazen Aly
by
7.5k points
3 votes

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)

User Vladimir Tsukanov
by
7.9k points