6.2 Review Worksheet, Part 1 (continued)
Solve each equation by finding all roots. 16. x 4 − 16 = 0
17. x 3 − 7 x 2 + 15 x − 9 = 0
18. x 4 + 5 x 2 − 36 = 0
19. 2 x 3 − 3 x 2 + 8 x − 12 = 0
20. x 4 − 5 x 3 + 3 x 2 + x = 0
21. x 4 − 4 x 2 + 3 = 0
Write the simplest polynomial function with the given zeros. 22. − i 2 , 3, and 2 23. − 2 2, 5, and 3
24. − 2 i and 1 + i
25. A storage bin is shaped like a cylinder with a hemisphere-shaped top. The cylinder is 45 inches tall. The volume of the bin is 4131 π cubic inches. Find the radius of the bin.
6.2.3 Investigating Graphs of Polynomial Functions Identify the leading coefficient, degree, and end behavior. 26. P ( x ) = 2 x 3 + 3 x 2 − 4 x 27. Q ( x ) = − 3 x 4 − 8 x 2
28. R ( x ) = − x 5 + 5 x 4 + 1
29. S ( x ) = 5.5 x 8 + 7.5 x 4
86
Made with FlippingBook - Share PDF online