Factor x^2-10x+16

Problem

x2−10*x+16

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−10 and c=16

2. Find two numbers that multiply to c (16 and add to b (−10.

3. Determine the factors by testing pairs of numbers that multiply to 16 (−2)×(−8)=16 and (−2)+(−8)=−10

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

Final Answer

x2−10*x+16=(x−2)*(x−8)

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