Factor x^2-7x+10

Problem

x2−7*x+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−7 and c=10

2. Find two numbers that multiply to the constant term c=10 and add to the linear coefficient b=−7

3. Determine the pair of numbers by testing factors of 10 (−2)×(−5)=10 and (−2)+(−5)=−7

4. Write the expression as a product of two binomials using these numbers: (x−2)*(x−5)

Final Answer

x2−7*x+10=(x−2)*(x−5)

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