Factor m^2+m-90

Problem

m2+m−90

Solution

1. Identify the coefficients of the quadratic expression in the form a*m2+b*m+c where a=1 b=1 and c=−90

2. Find two numbers that multiply to c (which is −90 and add to b (which is 1.

3. Determine the factors of −90 that satisfy the condition. The numbers 10 and −9 work because 10×−9=−90 and 10 + (-9) = 1$.

4. Write the expression in factored form (m+p)*(m+q) using the numbers found in the previous step.

Final Answer

m2+m−90=(m+10)*(m−9)

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