9. True or False: For each given statement, determine whether or not it is true. If it is not true, mark it false. For the purposes of this question, we count repeated roots as dis- tinct, so that the statement “Every n'h degree polynomial with rational coefficients has exactly n complex roots," is true. A. A polynomial function of even degree cannot have a range of all real numbers. B. Every polynomial function of degree n>1 has at least one real root. C. If f(x) is a polynomial function whose degree is even, then f(x) must have an even num- ber of real roots.

9. True or False: For each given statement, determine whether or not it is true. If it is not true, mark it false. For the purposes of this question, we count repeated roots as dis- tinct, so that the statement “Every n'h degree polynomial with rational coefficients has exactly n complex roots," is true. A. A polynomial function of even degree cannot have a range of all real numbers. B. Every polynomial function of degree n>1 has at least one real root. C. If f(x) is a polynomial function whose degree is even, then f(x) must have an even num- ber of real roots.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functinos And Their Graphs

Problem 4E: Which of the following statements couldn't possibly be true about the polynomial function P? (a) P...

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