Answer:
(x + 5)(5x + 3)
Step-by-step explanation:
given the trinomial
5x² + 28x + 15
To factor
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 × 15 = 75 and sum = + 28
The factors are + 25 and + 3
use these factors to split the x- term
5x² + 25x + 3x + 15 ( factor the first/second and third/fourth terms )
= 5x(x + 5) + 3(x + 5) ← factor out (x + 5) from each term
= (x + 5)(5x + 3) ← in factored form
