Factor 2x^2-4x-30

Problem

2*x2−4*x−30

Solution

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

2*(x2−2*x−15)

2. Identify two numbers that multiply to the constant term −15 and add to the linear coefficient −2

−5×3=−15

−5+3=−2

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

2*(x−5)*(x+3)

Final Answer

2*x2−4*x−30=2*(x−5)*(x+3)

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