Factor x^2-11x+10

Problem

x2−11*x+10

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−11 and c=10

2. Find two numbers that multiply to c (10 and add to b (−11.

3. Determine the factors by testing pairs of numbers that multiply to 10 (−1)×(−10)=10 and (−1)+(−10)=−11

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

Final Answer

x2−11*x+10=(x−1)*(x−10)

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