Polynomial Functions Worksheet With Answer Key Page 7
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17Advanced Algebra Honors
Wkst 6-4: Solving Polynomial Equations
Factor the expression on the left side of each equation. Then solve the equation.
41.
3
3
1. 8x
− 27 = 0
+ 64 = 0
2. x
3
3
3. 2x
+ 54 = 0
4. 2x
− 250 = 0
3
3
5. 4x
− 32 = 0
6. 27x
+ 1 = 0
42.
3
3
7. 64x
− 1 = 0
8. x
− 27 = 0
4
2
4
2
9. x
− 5x
+ 4 = 0
10. x
− 12x
+ 11 = 0
4
2
4
2
− 10x
+ 16 = 0
− 8x
+ 16 = 0
11. x
12. x
43.
4
2
4
2
13. x
− 9x
+ 14 = 0
14. x
+ 13x
+ 36 = 0
4
2
4
2
15. x
− 10x
+ 9 = 0
16. x
+ 3x
− 4 = 0
17. Over 3 yr, Lucia saved $550, $600, and $650 from baby-sitting jobs. The polynomial
3
2
550x
+ 600x
+ 650x represents her savings, with interest, after 3 yr. The annual interest
rate equals x − 1. Find the interest needed so that she will have $2000 after 3 yr.
Solve each equation by graphing. Where necessary, round to the nearest hundredth.
4
2
2
18. 2x
= 9x
− 4
19. x
− 16x = −1
3
2
3
2
20. 6x
+ 10x
+ 5x = 0
21. 36x
+ 6x
= 9x
4
3
2
4
2
22. 15x
= 11x
+ 14x
= 81x
23. x
24. The product of three consecutives integers n − 1, n, and n + 1 is −336. Write and solve an
equation to find the numbers.
Factor each expression.
3
4
2
25. x
− 125
26. x
− 8x
+ 15
4
2
3
27. x
+ x
− 2
28. x
+ 1
4
2
4
2
29. x
− 2x
− 24
30. x
+ 10x
+ 9
3
4
2
31. x
+ 27
32. x
+ 7x
− 18
Solve each equation.
4
4
2
− x = 0
34. 3x
+ 18 = 21x
33. x
4
2
4
2
35. 2x
− 26x
− 28 = 0
36. 5x
+ 50x
+ 80 = 0
4
4
37. x
− 81 = 0
38. x
= 25
5
3
4
2
3
= x
+ 12x
+ 12x
= 8x
39. x
40. x
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