9. A polynomial function p(x) has exactly four roots: -2i, 2i, -5, and 1. Which of the following could be p(x)? A p (x) = (x + 5) (r = 1) (x² + 4) p (x) = (x - 5) (x + 1) (z² + 4) p (a) = (x+ 5) (z– 1) (x² – 4) D p(z) = (x+5)² (x + 1) (x + 4)²

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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9. A polynomial function p(x) has exactly four
roots: -2i, 2i, -5, and 1. Which of the following
could be p(x)?
p(r) = (x + 5) (æ – 1) (æ² + 4)
p (x) = (x – 5) (x +1) (z² + 4)
p (a) = (x + 5) (x- 1) (z² – 4)
p(z) = (x5) (r + 1) (x + 4)²
Transcribed Image Text:9. A polynomial function p(x) has exactly four roots: -2i, 2i, -5, and 1. Which of the following could be p(x)? p(r) = (x + 5) (æ – 1) (æ² + 4) p (x) = (x – 5) (x +1) (z² + 4) p (a) = (x + 5) (x- 1) (z² – 4) p(z) = (x5) (r + 1) (x + 4)²
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Given that 2i,-2i,-5 and 1 are root of p(x)

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