Factor n^2-11n+10

Problem

n2−11*n+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*n2+b*n+c where a=1 b=−11 and c=10

2. Find two integers that multiply to equal c (10 and add to equal b (−11.

3. Determine the factors by testing pairs of numbers that multiply to 10 (−1)×(−10)=10 and (−1)+(−10)=−11

4. Write the expression in factored form (n+p)*(n+q) using the discovered integers −1 and −10

Final Answer

n2−11*n+10=(n−1)*(n−10)

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