Factor 2k^2+22k+60

Problem

2*k2+22*k+60

Solution

1. Factor out the greatest common factor (GCF) from all three terms, which is 2

2*(k2+11*k+30)

2. Identify two numbers that multiply to the constant term 30 and add to the coefficient of the middle term 11

5⋅6=30

5+6=11

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

2*(k+5)*(k+6)

Final Answer

2*k2+22*k+60=2*(k+5)*(k+6)

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