Section Exercises
1. What is the difference between an x-intercept and a zero of a polynomial function f? 2. If a polynomial function of degree n has n distinct zeros, what do you know about the graph of the function? 3. Explain how the Intermediate Value Theorem can assist us in finding a zero of a function. 4. Explain how the factored form of the polynomial helps us in graphing it. 5. If the graph of a polynomial just touches the x-axis and then changes direction, what can we conclude about the factored form of the polynomial? For the following exercises, find the x- or t-intercepts of the polynomial functions. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. For the following exercises, use the Intermediate Value Theorem to confirm that the given polynomial has at least one zero within the given interval. 24. , between and . 25. , between and . 26. , between and . 27. , between and . 28. , between and . 29. , between and For the following exercises, find the zeros and give the multiplicity of each. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. 41. For the following exercises, graph the polynomial functions. Note x- and y-intercepts, multiplicity, and end behavior. 42. 43. 44. 45. 46. 47. For the following exercises, use the graphs to write the formula for a polynomial function of least degree. 48.

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

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




