Factor 5x^2-5x-30

Problem

5*x2−5*x−30

Solution

1. Factor out the greatest common factor by identifying that each term is divisible by 5

5*(x2−x−6)

2. Identify two numbers that multiply to the constant term −6 and add to the coefficient of the linear term −1

−3⋅2=−6

−3+2=−1

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

5*(x−3)*(x+2)

Final Answer

5*x2−5*x−30=5*(x−3)*(x+2)

Want more problems? Check here!