Answer:
(x + 1)(5x - 3)
Step-by-step explanation:
Given
5x² + 2x - 3
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, that is
product = 5 × - 3 = - 15 and sum = + 2
The factors are + 5 and - 3
Use these factors to split the x- term
5x² + 5x - 3x - 3 ( factor the first/second and third/fourth terms )
= 5x(x + 1) - 3(x + 1) ← factor out (x + 1) from each term
= (x + 1)(5x - 3) ← in factored form
