Which is the factorization of 8x2 + 13x - 6? G C
A
(8x - 3)(x + 2)
(x-6)(8x + 1)
(2x - 2)(4x + 3)
(4x - 1)(2x + 6)

(8x - 3)(x + 2)

Step-by-step explanation:

A factorization must have a result equals to the original expression.

In this question:

For each option, we test to see if the result is equal, applying the distributive property and then combining like terms.

(8x - 3)(x + 2)

8x² + 16x - 3x - 6 = 8x² + 13 - 6

Equal, so this is the factorization.

(x-6)(8x + 1)

8x² + x - 48x - 6 = 8x² - 47x - 6

Different

(2x - 2)(4x + 3)

8x² + 6x - 8x - 6 = 8x² - 2x - 6

Different

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

8x² + 24x - 2x - 6 = 8x² + 22x - 6

Different