Answer:
(x - 2)(5x - 2)
Step-by-step explanation:
5x² - 12x + 4
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 × 4 = 20 and sum = - 12
the factors are - 10 and - 2
use these factors to split the x- term
5x² - 10x - 2x + 4 ( factor the first/second and third/fourth terms )
= 5x(x - 2) - 2(x - 2) ← factor out (x - 2) from each term
= (x - 2)(5x - 2) ← in factored form