Answer
Option C: (x+7)(x-6)
Work Step by Step
Given the polynomial
$x^{2}$ +x -42
*** We break of the middle term into two factors that add to give +1 and multiply to give -42. The two numbers are +7 and -6.
$x^{2}$ + 7x - 6x -42
We take the GCD of the first two and the GCD of the last two terms.
x(x+7) - 6(x+7)
We take (x+7) and factor it out which gives us.
(x+7)(x-6)
