Factor completely 3x^2 - 11x + 8.

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

B. (x - 2) (3x - 4)

C. (x + 1) (3x - 8)

D. (x - 1) (3x - 8)

Answer:D

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