Factor x^2+x-2

Problem

x2+x−2

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=1 and c=−2

2. Find two numbers that multiply to a⋅c=−2 and add to b=1

3. Determine the pair of numbers, which are 2 and −1 since 2⋅(−1)=−2 and 2 + (-1) = 1$.

4. Rewrite the expression using these numbers to group the terms as (x+2)*(x−1)

Final Answer

x2+x−2=(x+2)*(x−1)

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