Factor n^2-5n+6

Problem

n2−5*n+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*n2+b*n+c where a=1 b=−5 and c=6

2. Find two integers that multiply to equal c (which is 6 and add to equal b (which is −5.

3. Determine the pair of numbers by testing factors of 6 the numbers −2 and −3 satisfy both conditions because (−2)*(−3)=6 and −2+(−3)=−5

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

Final Answer

n2−5*n+6=(n−2)*(n−3)

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