Factor 2p^2+2p-4

Problem

2*p2+2*p−4

Solution

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

2*(p2+p−2)

2. Identify two numbers that multiply to −2 and add to 1 to factor the quadratic expression inside the parentheses.

2⋅(−1)=−2

2+(−1)=1

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

2*(p+2)*(p−1)

Final Answer

2*p2+2*p−4=2*(p+2)*(p−1)

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