Factor m^2-9m+8

Problem

m2−9*m+8

Solution

1. Identify the coefficients of the quadratic expression in the form a*m2+b*m+c where a=1 b=−9 and c=8

2. Find two numbers that multiply to a*c=8 and add to b=−9

3. Determine the pair of numbers, which are −8 and −1 since (−8)×(−1)=8 and −8+(−1)=−9

4. Rewrite the expression in factored form (m+p)*(m+q) using the identified numbers.

Final Answer

m2−9*m+8=(m−8)*(m−1)

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