Answer:
see explanation
Step-by-step explanation:
To factor the quadratic.
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 7 = - 42 , sum = + 1
Factors are + 7 and - 6
Use these factors to split the middle term
6x² - 6x + 7x - 7 ( factor the first/second and third/fourth terms )
= 6x(x - 1) + 7(x - 1) ← factor out (x - 1)
= (x - 1)(6x + 7) ← in factored form
(x - 1) and (6x + 7) are both factors of 6x² + x - 7
