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Worksheet by Kuta Software LLC
Algebra 2
Writing Polynomial Functions
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Date________________ Period____
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-1-
Write a polynomial function of least degree with integral coefficients that has the given zeros.
1) -3, 5, 3 2) -2, 2, -1
3) 0, 5, 2 4) -3, -5, 3, -1
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Worksheet by Kuta Software LLC
-2-
5) 1, -4, 0, -1 6) -5, 2 + i
7) 4, -5, -2
8) 3, 2 2
9) -1, 2i
10) 1, 6
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Worksheet by Kuta Software LLC
-3-
Answers to Writing Polynomial Functions
1) f (x) = x
3
- 5x
2
- 9x + 45 2) f (x) = x
3
+ x
2
- 4x - 4 3) f (x) = x
3
- 7x
2
+ 10x
4) f (x) = x
4
+ 6x
3
- 4x
2
- 54x - 45 5) f (x) = x
4
+ 4x
3
- x
2
- 4x
6) f (x) = x
3
+ x
2
- 15x + 25 7) f (x) = x
3
+ 3x
2
- 18x - 40 8) f (x) = x
3
- 3x
2
- 8x + 24
9) f (x) = x
3
+ x
2
+ 4x + 4 10) f (x) = x
3
- x
2
- 6x + 6
