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Suppose that Rx is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose that Rx has the following zeros. 1 2 i

Suppose that
Rx
is a polynomial of degree
9
whose coefficients are real numbers.
Also, suppose that
Rx
has the following zeros.
12i
,
55i
,
3i
Answer the following.
(a) Find another zero of
Rx
.
(b) What is the maximum number of real zeros that
Rx
can have?
(c) What is the maximum number of nonreal zeros that
Rx
can have?

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