Factor x^2-14x-32

Problem

x2−14*x−32

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−14 and c=−32

2. Find two numbers that multiply to c (which is −32 and add to b (which is −14.

3. Determine the pair of factors by testing values: 2 and −16 satisfy both conditions because 2⋅(−16)=−32 and 2 + (-16) = -14$.

4. Write the expression in factored form (x+p)*(x+q) using the numbers found.

Final Answer

x2−14*x−32=(x−16)*(x+2)

Want more problems? Check here!