Factor x^2-13x+12

Problem

x2−13*x+12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−13 and c=12

2. Find two numbers that multiply to a*c=12 and add to b=−13

3. Determine the pair of numbers, which are −12 and −1 because (−12)⋅(−1)=12 and −12+(−1)=−13

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

Final Answer

x2−13*x+12=(x−12)*(x−1)

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