Factor 3x^2+3x-60

Problem

3*x2+3*x−60

Solution

1. Factor out the greatest common factor, which is 3

3*(x2+x−20)

2. Identify two numbers that multiply to the constant term −20 and add to the coefficient of the linear term 1

5×−4=−20

5+(−4)=1

3. Rewrite the quadratic expression inside the parentheses using the factors found in the previous step.

3*(x+5)*(x−4)

Final Answer

3*x2+3*x−60=3*(x+5)*(x−4)

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