Factor x^2-5x+6

Problem

x2−5*x+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−5 and c=6

2. Find two numbers that multiply to the constant term c=6 and add up to the linear coefficient b=−5

3. Determine the pair of numbers by testing factors of 6 The numbers −2 and −3 satisfy both conditions because (−2)×(−3)=6 and (−2)+(−3)=−5

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

Final Answer

x2−5*x+6=(x−2)*(x−3)

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