17. Degree 4; zeros: 3 + 2i; 4, multiplicity 2 18. Degree 4; zeros: i; 1 + 2i 19. Degree 5; zeros: 2; -i; 1 + i 20. Degree 6; zeros: i; 4 – i; 2 + i 21. Degree 4; zeros: 3, multiplicity 2; – i 22. Degree 5; zeros: 1, multiplicity 3; 1 + i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 20E
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In Problems 17–22, form a polynomial function f(x) with real coefficients having the given degree and zeros. Answers will vary depending
on the choice of the leading coefficient. Use a graphing utility to graph the function and verify the result.

17. Degree 4; zeros: 3 + 2i; 4, multiplicity 2
18. Degree 4; zeros: i; 1 + 2i
19. Degree 5; zeros: 2; -i; 1 + i
20. Degree 6; zeros: i; 4 – i; 2 + i
21. Degree 4; zeros: 3, multiplicity 2; – i
22. Degree 5; zeros: 1, multiplicity 3; 1 + i
Transcribed Image Text:17. Degree 4; zeros: 3 + 2i; 4, multiplicity 2 18. Degree 4; zeros: i; 1 + 2i 19. Degree 5; zeros: 2; -i; 1 + i 20. Degree 6; zeros: i; 4 – i; 2 + i 21. Degree 4; zeros: 3, multiplicity 2; – i 22. Degree 5; zeros: 1, multiplicity 3; 1 + i
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