Factor 2x^2+2x-24

Problem

2*x2+2*x−24

Solution

1. Factor out the greatest common factor, which is 2

2*(x2+x−12)

2. Identify two numbers that multiply to −12 and add to 1 (the coefficient of the middle term).

4×−3=−12

4+(−3)=1

3. Rewrite the quadratic expression inside the parentheses using these two numbers as factors.

2*(x+4)*(x−3)

Final Answer

2*x2+2*x−24=2*(x+4)*(x−3)

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