Answer:
(x + 2)(3x + 4)
Explanation:
3x² + 10x + 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 = + 10
the factors are + 6 and + 4
use these factors to split the x- term
3x² + 6x + 4x + 8 ( factor first/second and third/fourth terms )
= 3x(x + 2) + 4(x + 2) ← factor out (x + 2) from each term
= (x + 2)(3x + 4) ← in factored form