Factor x^2-8x+12

Problem

x2−8*x+12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−8 and c=12

2. Find two numbers that multiply to the constant term c=12 and add to the linear coefficient b=−8

3. Determine the pair of numbers, which are −2 and −6 since (−2)×(−6)=12 and (−2)+(−6)=−8

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

Final Answer

x2−8*x+12=(x−2)*(x−6)

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