Suppose that R(x) is a polynomial of degree 10 whose coefficients are real numbers. Also, suppose that R(x) has the following zeros: 6, -7, 9, -2-i Answer the following: A) Find another zero of R(x) B) What is the maximum real zeros that R(x) can have? C) What is the maximum non-real zeros that R(x) can have?

Q: correct answer for all parts

A: Zeros of the polynomial

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.