Factor 2x^2+16x+30

Problem

2*x2+16*x+30

Solution

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

2*(x2+8*x+15)

2. Identify two numbers that multiply to 15 and add to 8

3×5=15

3+5=8

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

2*(x+3)*(x+5)

Final Answer

2*x2+16*x+30=2*(x+3)*(x+5)

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