Question

Factor completely 6x²-4x -2

Answer 1

$6x^2-4x -2 \\ \\ GCF = 2 \\ \\ 2( \frac{6x^2}{2} + \frac{-4x}{2} - \frac{2}{2} \ / \ factor \ out \ GCF \\ \\ 2(3x^2 - 2x - 1) \ / \ simplify \ terms \\ \\ 2(3x^2 + x - 3x - 1) \ / \ factor \\ \\ 2(x(3x+1) - (3x + 1)) \ / \ factor \ out \ common \ terms \\ \\ 2(3x+1)(x - 1) \ / \ factor \ out \ common \ term \\ \\ Answer: \fbox {2 (3x + 1)(x - 1)}$

Answer 2

6x² - 4x - 2
2(3x²) - 2(2x) - 2(1)
2(3x² - 2x - 1)
2(3x² - 3x + x - 1)
2(3x(x) - 3x(1) + 1(x) - 1(1))
2(3x(x - 1) + 1(x - 1))
2(3x + 1)(x - 1)