Answer:
D
Step-by-step explanation:
Given
3x² - 11x + 8
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 3 × 8 = 24 and sum = - 11
The factors are - 3 and - 8
Use these factors to split the x- term
3x² - 3x - 8x + 8 ( factor the first/second and third/fourth terms )
= 3x(x - 1) - 8(x - 1) ← factor out (x - 1) from each term
= (x - 1)(3x - 8) ← in factored form
