Let f (x) = x"+ 3x3+ 2x²+2 and %3D g(x) = * + 2x +1 E Zq [x]. Find g(x)g x(x) E Z5 [x] Such that f(x)=D9(x)g(x)+ Y (x) where either O< deg YCx) s deg glx) Y(x) =0 or

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f (x) = x'+ 3x³
+ 2x*+2 and
%3D
g(x) = x + 2x +1 E Zq [x]. Find
%3D
g(x) g x(x) E Zs [x] Such that
f(x)=q,(x)g(x)+Y (x) where either
Y(x) =0 oY
e< deg YCx) s deg gla)
Transcribed Image Text:Let f (x) = x'+ 3x³ + 2x*+2 and %3D g(x) = x + 2x +1 E Zq [x]. Find %3D g(x) g x(x) E Zs [x] Such that f(x)=q,(x)g(x)+Y (x) where either Y(x) =0 oY e< deg YCx) s deg gla)
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