## Algebra 1

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)