Answer:
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