When 3x* + px' + qx? +2x-15 is divided by 3x? +x- 2, the remainder is x- 5. Find the values of the constants p and q.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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FLEC
CODING
te ode to ind
e tel e()
b. whereP
A ven by the us
at ts the re
When 3x* + px' + qx? + 2x-15 is divided by 3x? + x – 2, the remainder is x-5. Find
the values of the constants p and q.
Hint:
1. Think in this form: P(x)= D(x) x Q(x) +R(x)
2. What can we do with a Quadratic divisor?
(a9 ()
P(x): 3x* tpx³ +qx*+2x-15
Answer:
1a) 98 b) 30 c) 8 2.8
3. a) -7 b) 7
5. a) a=39 he10 b) 20
elf! (optional)
4. ±3
Challe
Transcribed Image Text:FLEC CODING te ode to ind e tel e() b. whereP A ven by the us at ts the re When 3x* + px' + qx? + 2x-15 is divided by 3x? + x – 2, the remainder is x-5. Find the values of the constants p and q. Hint: 1. Think in this form: P(x)= D(x) x Q(x) +R(x) 2. What can we do with a Quadratic divisor? (a9 () P(x): 3x* tpx³ +qx*+2x-15 Answer: 1a) 98 b) 30 c) 8 2.8 3. a) -7 b) 7 5. a) a=39 he10 b) 20 elf! (optional) 4. ±3 Challe
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