48. If x = 6 + 9i a zero of a polynomial function, f (x), what else must be a zero? (A) 9 - 6i (C) 9+ 6i (B) 6 – 9i (D) Ø 11 (A) (1) (4) (4) lomdak (A) T6' 3 2 3,1, 3 2,2, 3,4, 6, 12} 46. Given f (x) = x4 – 23.x2 + 18x + 40, find all zeros of f(x). (A) {-1,2,4,5} (C) {-2, –1,4, 5} (B) {-5, –2, –1,4} (D) {-5, –1,2, 4} 47. Given f(x) = x4 + x³ – 4.x2 – 34x – 120, find all zeros of f(x). (A) {-3,4, –1 – 3i, –1+3i} (C) {-3,4,1 – 3i, 1+ 3i} (B) {-3,4, –1+ 3i, 1 – 3i} (D) {-3,4, -1- 3і, 1 + 3і} 33 20 ப 104-)0) (() Isimoion

Suppose f (x) = p(x)/q(x) , where p and q are polynomial functions with no common zeros. For what value(s) of x is f (x) undefined?

For the following polynomial:              f(x) = (x – 1)2 ( x2– x – 30)   3a) Describe the end behavior of the graph.  (You 3b) Find the x and y-intercepts 3c) Is the graph of this function both smooth and continuous? Explain why or why not? 3d) Provide a sketch of the function. How did you use your answers to parts (a), (b), and (c) to sketch the graph.

Consider f (x) = 2x* – x3 – 5x2 + 2x + 2. 1. List all possible zeros (candidates) for f(x). 2. Define f (x) in your calculator or desmos. Use the graph to narrow down your candidates. Use synthetic division to reduce f (x) to a quadratic expression. Factor the resulting quadratic expression to find the last two zeros. ZEROS: 3. Express f(x) as a product of linear factors. Don't forget to include the value of a!