Answer:
(4x + 1)(2x - 5)
Step-by-step explanation:
To factor 8x² - 18x - 5
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 = 8 × - 5 = - 40, sum = - 18
The factors are + 2 and - 20
Use these factors to split the x- term, that is
8x² + 2x - 20x - 5 ( factor the first/second and third/fourth terms )
= 2x(4x + 1) - 5(4x + 1) ← factor out (4x + 1)
= (4x + 1)(2x - 5) ← in factored form
