Determine the maximum number of real zeros that the following polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial function may have. Do not attempt to find the zeros. f(x) = 5x6 - 2x²+x+9 What is the maximum number of zeros that f(x) = 5x6 - 2x²+x+9 can have? (Type a whole number.) How many positive real zeros may the function f(x) = 5x - 2x²+x+9 have? (Type a whole number. Use a comma to separate answers as needed.) How many negative real zeros may the function f(x) = 5x - 2x²+x+9 have? (Type a whole number. Use a comma to separate answers as needed.) 6

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.5: Zeros Of Polynomial Functions
Problem 79E
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Determine the maximum number of real zeros that the following polynomial function may have. Then use Descartes'
Rule of Signs to determine how many positive and how many negative real zeros the polynomial function may have.
Do not attempt to find the zeros.
f(x) = 5x6 - 2x²+x+9
What is the maximum number of zeros that f(x) = 5x6 - 2x²+x+9 can have?
(Type a whole number.)
How many positive real zeros may the function f(x) = 5x6 - 2x²+x+9 have?
(Type a whole number. Use a comma to separate answers as needed.)
How many negative real zeros may the function f(x) = 5x - 2x²+x+9 have?
(Type a whole number. Use a comma to separate answers as needed.)
6
Transcribed Image Text:Determine the maximum number of real zeros that the following polynomial function may have. Then use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial function may have. Do not attempt to find the zeros. f(x) = 5x6 - 2x²+x+9 What is the maximum number of zeros that f(x) = 5x6 - 2x²+x+9 can have? (Type a whole number.) How many positive real zeros may the function f(x) = 5x6 - 2x²+x+9 have? (Type a whole number. Use a comma to separate answers as needed.) How many negative real zeros may the function f(x) = 5x - 2x²+x+9 have? (Type a whole number. Use a comma to separate answers as needed.) 6
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