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3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r- intercepts and whose complex zeros are not all real. Among the complex zeros of f, how many are imaginary?

3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r- intercepts and whose complex zeros are not all real. Among the complex zeros of f, how many are imaginary?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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 please answer #3 with complete solutions and clear writing please

Provide concise explanations for your answers to the following. 1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate of the vertex is greater than that of the focus. Does this parabola open to the left, to the right, upward, or downward? 2. Explain why the set {(-2,1), (–V2,0), (V2,0), (2, –1)} represents a function that is odd and not one-to-one. 3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r- intercepts and whose complex zeros are not all real. Among the complex zeros of f, how many are imaginary? 4. Find the value(s) of the real number k such that a - 3 is a factor of k² + 2ka – 6k + 15.
Transcribed Image Text:Provide concise explanations for your answers to the following. 1. The r-coordinates of the vertex and the focus of a parabola are the same, but the y- coordinate of the vertex is greater than that of the focus. Does this parabola open to the left, to the right, upward, or downward? 2. Explain why the set {(-2,1), (–V2,0), (V2,0), (2, –1)} represents a function that is odd and not one-to-one. 3. Suppose f is a polynomial function of degree 7 whose graph has exactly four distinct r- intercepts and whose complex zeros are not all real. Among the complex zeros of f, how many are imaginary? 4. Find the value(s) of the real number k such that a - 3 is a factor of k² + 2ka – 6k + 15.
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