Factor 2x^2+4x-6

Problem

2*x2+4*x−6

Solution

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

2*(x2+2*x−3)

2. Identify two numbers that multiply to −3 and add to 2

3×−1=−3

3+(−1)=2

3. Rewrite the quadratic expression inside the parentheses using these factors.

2*(x+3)*(x−1)

Final Answer

2*x2+4*x−6=2*(x+3)*(x−1)

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