Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
1 f(x) = 3x³ − x² + 27x − 9, - -

1 f(x) = 3x³ − x² + 27x − 9, - -

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
# Polynomial Root Analysis ## Given \( f(x) = 3x^3 - x^2 + 27x - 9 \), **a) Determine the maximum number of real roots.** ____________ **b) How many possible positive roots?** ____________ **c) How many possible negative roots?** ____________ **d) List all possible rational roots.** _____________________________________________________ **e) Find and list each real and complex root with its multiplicity.** _____________________________________________________ **f) List the polynomial as a product of linear factors.** _____________________________________________________ **g) Determine where the graph touches the x-axis and where it crosses the x-axis. Explain the answer.** _____________________________________________________ _____________________________________________________
Transcribed Image Text:# Polynomial Root Analysis ## Given \( f(x) = 3x^3 - x^2 + 27x - 9 \), **a) Determine the maximum number of real roots.** ____________ **b) How many possible positive roots?** ____________ **c) How many possible negative roots?** ____________ **d) List all possible rational roots.** _____________________________________________________ **e) Find and list each real and complex root with its multiplicity.** _____________________________________________________ **f) List the polynomial as a product of linear factors.** _____________________________________________________ **g) Determine where the graph touches the x-axis and where it crosses the x-axis. Explain the answer.** _____________________________________________________ _____________________________________________________
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS