Factor 2x^2+2x-12

Problem

2*x2+2*x−12

Solution

1. Factor out the greatest common factor, which is 2 from all terms in the expression.

2*(x2+x−6)

2. Identify two numbers that multiply to the constant term −6 and add to the coefficient of the linear term 1

3⋅(−2)=−6

3+(−2)=1

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

2*(x+3)*(x−2)

Final Answer

2*x2+2*x−12=2*(x+3)*(x−2)

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