Answer:
(x - 3)(5x + 4)
Explanation:
5x² - 11x - 12
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 × - 12 = - 60 and sum = - 11
the factors are - 15 and + 4
use these factors to split the x- term
5x² - 15x + 4x - 12 ( factor first/second and third/fourth terms )
= 5x(x - 3) + 4(x - 3) ← factor out (x - 3) from each term
= (x - 3)(5x + 4)