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16.-Linear-Algebra-by-Kenneth-Hoffman
· Problem 4.5.1
Polynomials
Mathematics — Linear Algebra · gcd-multiples
Problem
Let
p
p
p
be a monic polynomial over the field
F
F
F
, and let
f
f
f
and
g
g
g
be relatively prime polynomials over
F
F
F
. Prove that the g.c.d. of
p
f
pf
p
f
and
p
g
pg
p
g
is
p
p
p
.
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