Factor 2x^2+2x-40

Problem

2*x2+2*x−40

Solution

1. Factor out the greatest common factor by identifying that each term in the expression is divisible by 2

2*(x2+x−20)

2. Identify two numbers that multiply to the constant term −20 and add to the coefficient of the linear term 1

5⋅−4=−20

5+(−4)=1

3. Rewrite the quadratic trinomial using the identified factors (x+5) and (x−4)

2*(x+5)*(x−4)

Final Answer

2*x2+2*x−40=2*(x+5)*(x−4)

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