Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
Related questions
Question
![Rational Zero Theorem- If y=a,x" +a, 1x"-1
Math 103 Assign... x
Q
+
日。
2/6
119%
n-2
+a, jx" +a,,x" 2
+...ajx+a, 1S a polynomial function
77
with integral coefficients (a,, 70 and ao 70) and p/q (in lowest terms) is a rational zero of f(x), then
is a factor of the constant term ao and qg is a factor of the leading coefficient a,. (Also known as
good guesses'.)
Find the possible rational zeros of the functions:
f (x) =-x' +3x² +4
g(x) =
2x' +6x² –11x+8
Multiplicity – If the factor r - c occurs k times in the complete footorizotion of tho nolunomial](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa313a3fc-b0a7-43d3-b58a-901e6083472b%2Fa4e8f24a-2eac-4c8d-ba3e-5b837b246331%2Fyhg9snl5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Rational Zero Theorem- If y=a,x" +a, 1x"-1
Math 103 Assign... x
Q
+
日。
2/6
119%
n-2
+a, jx" +a,,x" 2
+...ajx+a, 1S a polynomial function
77
with integral coefficients (a,, 70 and ao 70) and p/q (in lowest terms) is a rational zero of f(x), then
is a factor of the constant term ao and qg is a factor of the leading coefficient a,. (Also known as
good guesses'.)
Find the possible rational zeros of the functions:
f (x) =-x' +3x² +4
g(x) =
2x' +6x² –11x+8
Multiplicity – If the factor r - c occurs k times in the complete footorizotion of tho nolunomial
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781337278461/9781337278461_smallCoverImage.gif)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Functions and Change: A Modeling Approach to Coll…](https://www.bartleby.com/isbn_cover_images/9781337111348/9781337111348_smallCoverImage.gif)
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
![Big Ideas Math A Bridge To Success Algebra 1: Stu…](https://www.bartleby.com/isbn_cover_images/9781680331141/9781680331141_smallCoverImage.jpg)
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt