Question

question
factor.
$x^2 + x - 90$
answer attempt 1 out of 2

Explanation:

Step1: Find two numbers

We need two numbers that multiply to -90 and add up to 1. Let's list the factor pairs of 90: (1,90), (2,45), (3,30), (5,18), (6,15), (9,10). Among these, 10 and -9 multiply to -90 (since 10*(-9) = -90) and add up to 1 (10 + (-9) = 1).

Step2: Factor the quadratic

Using the two numbers we found, we can factor \(x^2 + x - 90\) as \((x + 10)(x - 9)\).

Answer:

\((x + 10)(x - 9)\)