Factor 2x^2+22x+60

Problem

2*x2+22*x+60

Solution

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

2*(x2+11*x+30)

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

5×6=30

5+6=11

3. Rewrite the quadratic expression inside the parentheses using these two numbers as factors of the form (x+p)*(x+q)

2*(x+5)*(x+6)

Final Answer

2*x2+22*x+60=2*(x+5)*(x+6)

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