Factor x^2-12x+32

Problem

x2−12*x+32

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−12 and c=32

2. Find two numbers that multiply to c (32 and add to b (−12.

3. Determine the factors by testing pairs of numbers that multiply to 32 (−4)×(−8)=32 and (−4)+(−8)=−12

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

Final Answer

x2−12*x+32=(x−4)*(x−8)

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