What is a factor of 6x^2 + x - 7

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