5/5 Factor x^2+9x-36 (x-12)(x+3) (x-9)(x-4) (x+9)(x-4) (x+12)(x-3)

The correct answer is $(x+12)(x-3)$.<br /><br />To factor the quadratic expression $x^2 + 9x - 36$, we need to find two numbers whose product is -36 and whose sum is 9.<br /><br />The factors of -36 are:<br />-1 and 36<br />-2 and 18<br />-3 and 12<br />-4 and 9<br />-6 and 6<br />-9 and 4<br />-12 and 3<br />-18 and 2<br />-36 and 1<br /><br />Among these factors, the pair that adds up to 9 is -12 and 3.<br /><br />Therefore, the factored form of $x^2 + 9x - 36$ is $(x + 12)(x - 3)$.