3. Let f(x) = 3x* – 4x³ – 14x² – 4x + 3. (a.) Use the Rational Zero Theorem to list out the possible rational zeros of f. (b.) Use part (a.) along with synthetic division and factoring to find all zeros of f. Write the complete factorization for f(x). (c.) Sketch the graph of f. Make sure your graph shows the x-intercepts and exhibits proper end behavior.

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 82E
icon
Related questions
Question
3. Let f(x) = 3x* – 4x³ – 14x² – 4x + 3.
(a.) Use the Rational Zero Theorem to list out the possible rational zeros of f.
(b.) Use part (a.) along with synthetic division and factoring to find all zeros of f.
Write the complete factorization for f(x).
(c.) Sketch the graph of f. Make sure your graph shows the x-intercepts and exhibits
proper end behavior.
Transcribed Image Text:3. Let f(x) = 3x* – 4x³ – 14x² – 4x + 3. (a.) Use the Rational Zero Theorem to list out the possible rational zeros of f. (b.) Use part (a.) along with synthetic division and factoring to find all zeros of f. Write the complete factorization for f(x). (c.) Sketch the graph of f. Make sure your graph shows the x-intercepts and exhibits proper end behavior.
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Knowledge Booster
Polynomial
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt