Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x-c)(quotient). f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6 Yes; f(x) = (x + 6)(x³ + x-3) No Yes; f(x) = (x+6)(x³ + 5x - 3) Yes; f(x) = (x-6)(x³ + 5x + 3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form,
that is, write f in the form f(x) = (x-c)(quotient).
f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6
Yes; f(x) = (x + 6)(x³ + x - 3)
No
Yes; f(x) = (x + 6)(x³ + 5x - 3)
Yes; f(x) = (x-6)(x³ + 5x + 3)
Transcribed Image Text:Use the Factor Theorem to determine whether x - c is a factor of f. If it is, write f in factored form, that is, write f in the form f(x) = (x-c)(quotient). f(x) = x² + 6x³ + 5x² + 27x - 18; c = -6 Yes; f(x) = (x + 6)(x³ + x - 3) No Yes; f(x) = (x + 6)(x³ + 5x - 3) Yes; f(x) = (x-6)(x³ + 5x + 3)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

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,