suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -2, 3-3i, 3+3i, -5+4i Find another zero of R(x). What is the maximum number of real zeros that R(x) can have? What is the maximum number of nonreal zeros that R(x) can have?

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11-07-2024
Mathematics

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suppose that R(x) is a polynomial of degree 8 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros. -2, 3-3i, 3+3i, -5+4i Find another zero of R(x). What is the maximum number of real zeros that R(x) can have? What is the maximum number of nonreal zeros that R(x) can have?

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