Factor x^2-7x+6

Problem

x2−7*x+6

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−7 and c=6

2. Find two numbers that multiply to c (which is 6 and add up to b (which is −7.

3. Determine the factors by testing pairs of numbers that multiply to 6 (−1)×(−6)=6 and (−1)+(−6)=−7

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

Final Answer

x2−7*x+6=(x−1)*(x−6)

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