Answer:
C
Step-by-step explanation:
Given
2x² - x - 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 = - 1
The factors are - 4 and + 3
Use these factors to split the x- term
2x² - 4x + 3x - 6 ( factor the first/second and third/fourth terms )
= 2x(x - 2) + 3(x - 2) ← factor out (x - 2) from each term
= (x - 2)(2x + 3) ← in factored form
Thus 2x + 3 is a factor → C
