enter the correct answer in the box. consider this expression. $x^{2}+x - 72$ replace the values of a and b…

enter the correct answer in the box. consider this expression. $x^{2}+x - 72$ replace the values of a and b to rewrite the given expression. $(x + a)(x + b)$

enter the correct answer in the box. consider this expression. $x^{2}+x - 72$ replace the values of a and b to rewrite the given expression. $(x + a)(x + b)$

Answer

Explanation:

Step1: Factor the quadratic expression

We need to find two numbers (a) and (b) such that (a + b=1) (the coefficient of (x)) and (ab=- 72) (the constant - term). The numbers are (9) and (-8) since (9+( - 8)=1) and (9\times(-8)=-72).

Step2: Rewrite the expression

The factored form of (x^{2}+x - 72) is ((x + 9)(x-8)).

Answer:

((x + 9)(x - 8))