Given the binomials (x - 1), (x - 3), (x + 3), and (x + 5), which one is a factor of f (x) = x3 + 6x2 + 12x + 35?

(x - 3)

(x - 1)

(x + 2)

(x + 3)

To determine the root of the polynomial given, by trial and error we substitute each option given to the x-value of the polynomial and see which of the options results to zero. In this case, the factor of the polynomial f (x) = x3 + 6x2 + 12x + 35 is (x+5)