Answer:
(x + 1)(2x - 5)
Explanation:
Assuming you require the expression factorised.
2x² - 3x - 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 = 2 × - 5 = - 10 and sum = - 3
The factors are + 2 and - 5
Use these factors to split the x- term
2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )
= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x - 5) ← in factored form