Factor x^2-4x-32

Problem

x2−4*x−32

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−4 and c=−32

2. Find two numbers that multiply to the constant term c=−32 and add to the linear coefficient b=−4

3. Determine the factors of −32 by testing pairs: 4×−8=−32 and 4 + (-8) = -4$.

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

Final Answer

x2−4*x−32=(x−8)*(x+4)

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