Please solve this using the zeros of a polynomial to factor a polynomial and solve equations.

All work must be shown to get credit for the answers. Round to two decimal places if needed. 1) (25 points) Given the following graph of a polynomial function f (x), a) What are the solutions of f (x) = 0? Solutions: X = b) Use the answer in part (a) to write f (x) in factored form with leading coefficient 1. f (x) = 2) Solve the following equations using FACTORING (25 points each): a) 3x3 - 75x = 0 Solutions: X = b) - - 27 = 0 Solutions: X = 3) Given p(x) = x3 - 2x2 + 4x - 8 , and the fact that x = 2 is a zero of this polynomial, a) use synthetic division to obtain the factorization of p(x) Factored polynomial p(x) = b) What are the solutions of the equation p(x) = 0? Solutions: x =