Factor n^2-10n+9

Problem

n2−10*n+9

Solution

1. Identify the coefficients of the quadratic expression in the form a*n2+b*n+c where a=1 b=−10 and c=9

2. Find two integers that multiply to equal c (9 and add to equal b (−10.

3. Determine the pair of numbers, which are −9 and −1 since (−9)×(−1)=9 and (−9)+(−1)=−10

4. Write the factored form using these two numbers as (n+p)*(n+q)

Final Answer

n2−10*n+9=(n−9)*(n−1)

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