Question

Factor out the greatest common factor.
3x³-18x² + 12x

Answer 1

x² - 6x + 4

Explanation:

Hello!

Factor each term completely:

• 3x³ = (3)(x)(x)(x)
• -18x² = (-1)(2)(3)(3)(x)(x)
• 12x = (2)(2)(3)(x)

Common factors that are shown in all 3 terms are x and 3.

Divide each term by 3x:

• (3)(x)(x)(x) ÷ 3x = (x)(x) = x²
• (-1)(2)(3)(3)(x)(x) ÷ 3x = (-1)(2)(3)(x) = -6x
• (2)(2)(3)(x) ÷ 3x = (2)(2) = 4

Combine the terms: x² - 6x + 4