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26 August, 09:19

What is the least possible degree of a polynomial that has roots - 5, 1 + 4i, and - 4i?

A. 2

B. 3

C. 4

D. 5

+3
Answers (1)
  1. 26 August, 12:02
    0
    Hello,

    if 1+4i is a root, its conjugate 1-4i is also one.

    Least degree: 3

    Answer B

    P (x) = (x+5) (x-1-4i) (x-1+4i)
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