Calculus help . A-F

Consider the following polynomial functions. Answer parts a through f below. f(X) = (X - 7)(X - 8)(X + 9) 900 = x3 +4x2 -9x- 36 h(X) = 3x3 +12x2 - 27x-108 f(7) = I: (Simplify your answer.) b. For what values, other than 7, is f(x) = f(7)? x = D (Use a comma to separate answers as needed.) c. Evaluate the following. g(3) = 9(3) = g(-4) = d. Based on your answers from part c, what do you think is the factored form of g(x)? Verify your answer by multiplying it out and comparing with g(x). g(x) = D (Factor completely.) 9. Using your answer from part d, what is the factored form of h(x)? h(x) = D (Factor completely.) f. Based on what you have learned in this exercise, ll in the blank. lff is a polynomial and f(a) = 0 for some number a, then one factor of the polynomial is V