Suppose that R(x) is a polynomial of degree 9 whose coefficients are real numbers. Also, suppose that R (x) has the following

Question

Suppose that R(x) is a polynomial of degree 9 whose coefficients are real numbers.
Also, suppose that R (x) has the following zeros.
-3, 4, 2i, −1+4i
Answer the following.
(a) Find another zero of R (x).
(b) What is the maximum number of real zeros that R(x) can have?
(c) What is the maximum number of nonreal zeros that R (x) can have?

Kunduz · Accepted Answer

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