Which expression is equivalent to the given expression? 2x^2 - 11r - 6
OA. (2x + 1)(x -6)
OB. (2x + 3)(x - 2)
OC 2(x + 3)(x – 2)
OD. 2(x - 3)(x + 1)

A

Step-by-step explanation:

Given

2x² - 11x - 6

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 = 2 × - 6 = - 12 and sum = - 11

The factors are - 12 and + 1

Use these factors to split the x- term

2x² - 12x + x - 6 ( factor the first/second and third/fourth terms )

= 2x(x - 6) + 1(x - 6) ← factor out (x - 6) from each term

= (2x + 1)(x - 6) → A