Factor x^2-7x-60

Problem

x2−7*x−60

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−7 and c=−60

2. Find two numbers that multiply to the constant term c=−60 and add to the linear coefficient b=−7

3. Test factor pairs of −60

5×−12=−60

5+(−12)=−7

4. Rewrite the expression using these factors in the binomial form (x+p)*(x+q)

(x+5)*(x−12)

Final Answer

x2−7*x−60=(x+5)*(x−12)

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