Factor 2n^2+6n-108

Problem

2*n2+6*n−108

Solution

1. Factor out the greatest common factor, which is 2 for all three terms.

2*(n2+3*n−54)

2. Identify two numbers that multiply to −54 and add to 3

9×−6=−54

9+(−6)=3

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

2*(n+9)*(n−6)

Final Answer

2*n2+6*n−108=2*(n+9)*(n−6)

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