Answer:
(3x - 2 )
Step-by-step explanation:
Given
3x² - 14x + 8
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 = 3 × 8 = 24 and sum = - 14
Factors are - 12 and - 2
Use these factors to split the x- term
3x² - 12x - 2x + 8 ( factor the first/second and third/fourth terms )
= 3x(x - 4) - 2(x - 4) ← factor out (x - 4) from each term
= (x - 4)(3x - 2) ← in factored form
The factors are (x - 4) and (3x - 2)
