Calculate GCD(x3 + 2x2 + 3x , x2 + 3x + 2) in Z5 [x]. What is wrong with my answer? The correct answer is 2. Please see the attachment.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Calculate GCD(x+ 2x+ 3x , x2 + 3x + 2) in Z[x].

What is wrong with my answer?

The correct answer is 2.

Please see the attachment.

 

X +4
x+3x+2x+2x+3X
+2x"+
*+3x+2X
4x2+ x :ムネ×
4x+12メ+8
x²+x=4¥7X
十っメク
2.
4x+3¢ -tX =4*
8= 3
4X +4
4x +3
X" +3X+2
*+スx-
2.
16x2412x=x?+2X
x +2
X + 2 +16x+12= X+2
Transcribed Image Text:X +4 x+3x+2x+2x+3X +2x"+ *+3x+2X 4x2+ x :ムネ× 4x+12メ+8 x²+x=4¥7X 十っメク 2. 4x+3¢ -tX =4* 8= 3 4X +4 4x +3 X" +3X+2 *+スx- 2. 16x2412x=x?+2X x +2 X + 2 +16x+12= X+2
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