Answer:
(4x + 5)(4x - 3)
Step-by-step explanation:
Given
16x² + 8x - 15
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 16 × - 15 = - 240 and sum = + 8
The factors are + 20 and - 12
Use these factors to split the x- term
16x² + 20x - 12x - 15 ( factor the first/second and third/fourth terms )
= 4x(4x + 5) - 3(4x + 5) ← factor out (4x + 5) from each term
= (4x + 5)(4x - 3) ← in factored form
