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)

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