Factor n^2-n-56

Problem

n2−n−56

Solution

1. Identify the coefficients of the quadratic expression in the form a*n2+b*n+c where a=1 b=−1 and c=−56

2. Find two integers that multiply to c (which is −56 and add to b (which is −1.

3. Determine the factors by testing pairs of numbers that multiply to −56 such as 7 and −8

4. Verify the sum of the chosen numbers: 7 + (-8) = -1,w*h*i*c*h*m*a*t*c*h*e*s(t)*h*e*m*i*d(d(l))*e*c*o*e*ƒ*ƒ*i*c*i*e*n*t$.

5. Write the expression in factored form (n+p)*(n+q) using the identified integers.

Final Answer

n2−n−56=(n−8)*(n+7)

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