3 Do not use a calculator in this question. The polynomial p(x) is ax³-4x²+bx+18. It is given that p(x) and p'(x) are both divisible by 2x-3. (i) Show that a = 4 and find the value of b. (ii) Using the values of a and b from part (i), factorise p(x) completely. (iii) Hence find the values of x for which p(x) = x+2. 3 CamScanner로 스캔하기 KS
3 Do not use a calculator in this question. The polynomial p(x) is ax³-4x²+bx+18. It is given that p(x) and p'(x) are both divisible by 2x-3. (i) Show that a = 4 and find the value of b. (ii) Using the values of a and b from part (i), factorise p(x) completely. (iii) Hence find the values of x for which p(x) = x+2. 3 CamScanner로 스캔하기 KS
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

Transcribed Image Text:PAPER 1
5. FACTORS OF POLYNOMIALS
N2016
page 29
3 Do not use a calculator in this question.
The polynomial p(x) is ax³-4x²+bx+18. It is given that p(x) and p'(x) are both divisible
by 2x-3.
(i) Show that a = 4 and find the value of b.
(ii) Using the values of a and b from part (i), factorise p(x) completely.
(iii) Hence find the values of x for which p(x) = x+2.
3 CamScanner로 스캔하기
KS
Expert Solution

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 2 steps with 2 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

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…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

