SOLUTION: Suppose that R(x)is a polynomial of degree whose coefficients are real numbers. Also suppose that R(x) has the following zeros. -2,3,8,-4+4i _ (a) Find another zero of R(x).

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Question 644228: Suppose that R(x)is a polynomial of degree whose coefficients are real numbers.
Also suppose that R(x) has the following zeros.
-2,3,8,-4+4i _
(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?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Suppose that R(x)is a polynomial of degree?? whose coefficients are real numbers.
Also suppose that R(x) has the following zeros.
-2,3,8,-4+4i _
(a) Find another zero of R(x).?
Ans: -4-4i
------------------------
(b) What is the maximum number of real zeros that R(x) can have? ?
You did not show the degree of the polynomial. If it is "n", the max
number of Real must be n-2.
-------------------------------------
(c) What is the maximum number of nonreal zeros that R(x)can have?
????
Cheers,
Stan H.

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