Which binomials below is a factor of this trinomial 5x^2-5x-100

We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x - 100. The solution to this problem is shown below:

5x² - 5x - 100 let the problem equal to zero such as:

5x² - 5x - 100 = 0, factor out 5 from the given trinomial

5 (x²-x-20) = 0

5 (x-5) (x+4) = 0

The correct factor is 5 (x-5) (x+4).