Factor x^2-4x-60

Problem

x2−4*x−60

Solution

1. Identify the coefficients of the quadratic expression in the form a*x2+b*x+c where a=1 b=−4 and c=−60

2. Find two numbers that multiply to the constant term c=−60 and add to the linear coefficient b=−4

3. Test pairs of factors of −60 6 and −10 satisfy the conditions because 6⋅(−10)=−60 and 6 + (-10) = -4$.

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

Final Answer

x2−4*x−60=(x−10)*(x+6)

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