9. 10. . b. 9 d. 13 Given f(x) = (x-3)(x + 5) + 3. When f(x) is divided by (x-k), the remainder is k. Find k. a. 2 C. -3 b. 5 d. -4 Determine the value of k so that (3x + 2) is a factor of (6x3 - 5x² - 12x + k). a. -2 C. -5 b. -3 d. -4

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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Instruction: Select the correct answer for each of the following questions. Follow the instructions. Kindly provide a COMPLETE and CLEAR solution. Answer it ASAP because I really need it right now.

The answer should be typewritten.

ANSWER #9&10 ONLY

8.
9.
10.
If 4x³ + 18x² + 8x − 4 is divided by 2x + 3, find the remainder using the remainder theorem.
a. 7
b. 9
C. 11
d. 13
Given f(x) = (x − 3)(x + 5) + 3. When f(x) is divided by (x - k), the remainder is k. Find k.
a. 2
C. -3
b. 5
d.
-4
Determine the value of k so that (3x + 2) is a factor of (6x³ – 5x² − 12x + k).
a. -2
C. -5
b. -3
d. -4
Transcribed Image Text:8. 9. 10. If 4x³ + 18x² + 8x − 4 is divided by 2x + 3, find the remainder using the remainder theorem. a. 7 b. 9 C. 11 d. 13 Given f(x) = (x − 3)(x + 5) + 3. When f(x) is divided by (x - k), the remainder is k. Find k. a. 2 C. -3 b. 5 d. -4 Determine the value of k so that (3x + 2) is a factor of (6x³ – 5x² − 12x + k). a. -2 C. -5 b. -3 d. -4
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