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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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 21 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.
Transcribed Image Text: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 21 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.
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