Answer:
(x + 2)(5x - 4)
Explanation:
5x² + 6x - 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 = 5 × - 8 = - 40 and sum = + 6
the factors are + 10 and - 4
use these factors to split the x- term
5x² + 10x - 4x - 8 ( factor the first/second and third/fourth terms )
= 5x(x + 2) - 4(x + 2) ← factor out the common factor (x + 2)
= (x + 2)(5x - 4) ← in factored form