Factor x^2-7x+12

Problem

x2−7*x+12

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−7 and c=12

2. Find two numbers that multiply to the constant term c=12 and add up to the linear coefficient b=−7

3. Determine the factors by testing pairs of numbers that multiply to 12 (−3)×(−4)=12 and (−3)+(−4)=−7

4. Write the expression as a product of two binomials using these numbers.

Final Answer

x2−7*x+12=(x−3)*(x−4)

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