Final answer:
The expression 8x^2 + 14x - 15 can be factored as (2x - 1)(4x + 15).
Step-by-step explanation:
The expression 8x2 + 14x - 15 can be factored as (2x - 1)(4x + 15). To factor the quadratic expression, we need to find two numbers that multiply to give the product of the leading coefficient (8) and the constant term (-15), and add up to give the coefficient of the middle term (14). In this case, the numbers are -1 and 15. Using these numbers, we can rewrite the expression as (2x - 1)(4x + 15).