Answer:
see explanation
Explanation:
Given
6x² - 5x - 25
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 × - 25 = - 150 and sum = - 5
The factors are + 10 and - 15
Use these factors to split the x- term
6x² + 10x - 15x - 25 ( factor the first/second and third/fourth terms )
= 2x(3x + 5) - 5(3x + 5) ← factor out (3x + 5)
= (3x + 5)(2x - 5)
The factors are (3x + 5) and (2x - 5)