Answer:
(x - 2)(3x + 4)
Explanation:
Given
3x² - 2x - 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 = - 2
The factors are - 6 and + 4
Use these factors to split the x- term
3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )
= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term
= (x - 2)(3x + 4)