F2016 The polynomial f(x)= ar +7x²-9x+b is divisible by 2x-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. ) Using the values from part (i), show that f(x) = (2x - 1)(cx² + dx + e), where c, d and e are integers to be found. Hence factorise f(x) completely. CamScanner로 스캔하기 KS VENT
F2016 The polynomial f(x)= ar +7x²-9x+b is divisible by 2x-1. The remainder when f(x) is divided by x-2 is 5 times the remainder when f(x) is divided by x + 1. (i) Show that a = 6 and find the value of b. ) Using the values from part (i), show that f(x) = (2x - 1)(cx² + dx + e), where c, d and e are integers to be found. Hence factorise f(x) completely. CamScanner로 스캔하기 KS VENT
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![PAPER 1
5. FACTORS OF POLYNOMIALS
page 27
F2016
1
The polynomial f(x)= ar +7x²-9x+b is divisible by 2r-1. The remainder when f(x) is
divided by x-2 is 5 times the remainder when f(x) is divided by x + 1.
(i) Show that a = 6 and find the value of b.
(ii) Using the values from part (i), show that f(x) = (2x − 1)(cx² + dx + e), where c, d and e are
integers to be found.
(iii) Hence factorise f(x) completely.
ICS CamScanner로 스캔하기
KS VENT](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd4c2ba2d-89d9-4ecf-959b-3e3aa7eca382%2F7d4acce3-09f6-47e5-902b-55087cbec21c%2Fmr4p77b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:PAPER 1
5. FACTORS OF POLYNOMIALS
page 27
F2016
1
The polynomial f(x)= ar +7x²-9x+b is divisible by 2r-1. The remainder when f(x) is
divided by x-2 is 5 times the remainder when f(x) is divided by x + 1.
(i) Show that a = 6 and find the value of b.
(ii) Using the values from part (i), show that f(x) = (2x − 1)(cx² + dx + e), where c, d and e are
integers to be found.
(iii) Hence factorise f(x) completely.
ICS CamScanner로 스캔하기
KS VENT
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 3 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Advanced Engineering Mathematics](https://www.bartleby.com/isbn_cover_images/9780470458365/9780470458365_smallCoverImage.gif)
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
![Numerical Methods for Engineers](https://www.bartleby.com/isbn_cover_images/9780073397924/9780073397924_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9781118141809/9781118141809_smallCoverImage.gif)
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
![Mathematics For Machine Technology](https://www.bartleby.com/isbn_cover_images/9781337798310/9781337798310_smallCoverImage.jpg)
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
![Basic Technical Mathematics](https://www.bartleby.com/isbn_cover_images/9780134437705/9780134437705_smallCoverImage.gif)
![Topology](https://www.bartleby.com/isbn_cover_images/9780134689517/9780134689517_smallCoverImage.gif)