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