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).