Giraud, in asserting the truth of the fundamental theorem of algebra had a method for verifying the roots of a polynomial equation. he called it his "first faction - the sum of all the roots", "second faction - the sum of the product of the roots taken two at a time" and the "third faction - the sum of the product of the roots taken three at a time". he also required that the terms of the polynomial equation be written alternately in both sides of the equality sign. given the polynomial equation x^3-11x^2 +38x -40 = 0 a) verify that the roots are 2, 4 and 5 after you find the first faction, second faction and third faction of the roots.