1. TRUE or FALSE - For those that are false provide a counterexample. a) A polynomial function with a negative leading coefficient may extend from quadrant 3 to quadrant 4. b) Even-degree polynomials have an even number of x-intercepts. c) A polynomial function with 4 x-intercepts is degree 4. d) All even-degree polynomials have at least one x-intercept.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 14T
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Question
1. TRUE or FALSE - For those that are false
provide a counterexample.
a) A polynomial function with a negative
leading coefficient may extend from
quadrant 3 to quadrant 4.
b) Even-degree polynomials have an
even number of x-intercepts.
c) A polynomial function with 4
x-intercepts is degree 4.
d) All even-degree polynomials have at
least one x-intercept.
Transcribed Image Text:1. TRUE or FALSE - For those that are false provide a counterexample. a) A polynomial function with a negative leading coefficient may extend from quadrant 3 to quadrant 4. b) Even-degree polynomials have an even number of x-intercepts. c) A polynomial function with 4 x-intercepts is degree 4. d) All even-degree polynomials have at least one x-intercept.
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