Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The quotient polynomial is: a) 1+ 2x + 2x. b) c) 2+3x + 2x. d) None.
Let f(x) = x' + 2x + 4 and g(x) - 3x + 2 in Z,[x]. Then, upon dividing f(x) by glx), we get 7- The quotient polynomial is: a) 1+ 2x + 2x. b) c) 2+3x + 2x. d) None.
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
part 7 8
![Let f(x) - x' + 2x + 4 and g(x) - 3x + 2 in Z,x]. Then, upon dividing f(x) by
g(x), we get
7- The quotient polynomial is:
a) 1+ 2x + 2x.
b) 2-2
27
c) 2+ 3x + 2x².
d) None.
O a)
O b)
O c)
O d)
8- The remainder polynomial is:
a)
b) 8.
c) 0.
d) 2.
O a)
O b)
O c)
9. The polynomial 2x + 1 has a multiplicative inverse in Z[x] equals to:
a)
b) 1+ 2x
c)x +1
d) None
O a)
O b)
10-If p is a prime number, then in Z[x] the polynomial x P -1 – 1 =
a) (x- 1) (x + 2) (x - 3)... (x+ p- 1).
b) (x - 1) (r - 1) (x² – 1)... (x"- – 1).
c) (x- 1) (r 2) (x- 3)... (x- p+1).
d) (x- 1) (r- 2) (x – 3)... (x -p-1).
O b)
O c)
O d)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe756d16b-11da-42ca-aa3c-42f58a49ae7d%2F51ef0875-7af3-4731-b110-0ba535092048%2F9eim27_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f(x) - x' + 2x + 4 and g(x) - 3x + 2 in Z,x]. Then, upon dividing f(x) by
g(x), we get
7- The quotient polynomial is:
a) 1+ 2x + 2x.
b) 2-2
27
c) 2+ 3x + 2x².
d) None.
O a)
O b)
O c)
O d)
8- The remainder polynomial is:
a)
b) 8.
c) 0.
d) 2.
O a)
O b)
O c)
9. The polynomial 2x + 1 has a multiplicative inverse in Z[x] equals to:
a)
b) 1+ 2x
c)x +1
d) None
O a)
O b)
10-If p is a prime number, then in Z[x] the polynomial x P -1 – 1 =
a) (x- 1) (x + 2) (x - 3)... (x+ p- 1).
b) (x - 1) (r - 1) (x² – 1)... (x"- – 1).
c) (x- 1) (r 2) (x- 3)... (x- p+1).
d) (x- 1) (r- 2) (x – 3)... (x -p-1).
O b)
O c)
O d)
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