Factor x^2-16x+60

Problem

x2−16*x+60

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−16 and c=60

2. Find two numbers that multiply to c (60 and add to b (−16.

3. Determine the factors by testing pairs of numbers that multiply to 60 (−6)×(−10)=60 and (−6)+(−10)=−16

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

Final Answer

x2−16*x+60=(x−6)*(x−10)

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