Question

Factor out the gcf then factor the remaining trinomial.

Answer 1

Answer:

6(x - 1)(3x + 1)

Step-by-step explanation:

Given

18x² - 12x - 6 ← factor out 6 from each term

= 6(3x² - 2x - 1) ← factor the quadratic

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term

product = 3 × - 1 = - 3 and sum = - 2

The factors are - 3 and + 1

Use these factors to split the x- term

3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)

= (x - 1)(3x + 1)

Hence

18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form