Answer:
(3x + 1)(2x - 3)
Explanation:
Given
6x² - 7x - 3
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 = 6 × - 3 = - 18 and sum = - 7
The factors are + 2 and - 9
Use these factors to split the x- term
6x² + 2x - 9x - 3 ( factor the first/second and third/fourth terms )
= 2x(3x + 1) - 3(3x + 1) ← factor out (3x + 1) from each term
= (3x + 1)(2x - 3) ← in factored form