Factor x^2-10x+9

Problem

x2−10*x+9

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−10 and c=9

2. Find two numbers that multiply to c (which is 9 and add to b (which is −10.

3. Determine the pair of numbers by testing factors of 9 The factors −1 and −9 satisfy both conditions because (−1)⋅(−9)=9 and −1+(−9)=−10

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

Final Answer

x2−10*x+9=(x−1)*(x−9)

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