Answer:
(x - 6)(5x - 1)
Explanation:
Consider the factors of the product of the coefficient of the x² term ( 5 ) and the constant term (6 ) which sum to give the coefficient of the x- term (- 31)
product = 5 × 6 = 30 and sum = - 31
The factors are - 30 and - 1
Use these factors to split the middle term
5x² - 30x - x + 6 ( factor by grouping 1/2 and 3/4 terms )
= 5x(x - 6) - 1 (x - 6) ← factor out (x - 6)
= (x - 6)(5x - 1) ← in factored form