Jennafer C.

asked • 09/03/18# degree 3; zeros 2,-1,-i

What are the remaining zeros?

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## 1 Expert Answer

Arturo O. answered • 09/03/18

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As Paul stated in his Comment, if -i is a zero, then its complex conjugate +i must also be a zero. Otherwise, the coefficients will not all be real. The minimum degree must be 4 and the zeros are

2

-1

-i

i

The polynomial is is

p(x) = A(x - 2)(x + 1)(x + i)(x - i)

with A ≠ 0. The simplest polynomial would have A = 1. You can expand to standard form if you wish

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Paul M.

09/03/18