An degree ns1 for element some g multiplicity 2 in с iff f (x) of Hint: Eliminate which X-C = of a field F f(c)=0. Moreover, F[x] from is and g(c)70. which among the following is f(x) in 25 [x] below. the a choices factor is root a C is a root of which of of multiplicity are f(x) twice. 3 2 x5 + 4x² + 4x³ - x² - 4x + 1 a polynomial not roots m f of if f(x) = g(x) (x-c)m a root of test

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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Question
An
degree ns1
for
element C
some
g
multiplicity 2
of
of
iff
in F[x]
Hint: Eliminate
which X-C
f(x) =
field F
f(c)=0. Moreover,
a
f(x) in 25 [x] bellow.
from
is
and g(c) 70. which among
the
a
is
a
C is a
choices
factor
which
roof
of
root
are
of a polynomial f of
of multiplicity im if f(x) = g(x)(x-c)m
3
2
x5 + 4x² + 4x³ - x² - 4x + 1
the following is
not
f(x) twice.
roots
S
a root of
test
Transcribed Image Text:An degree ns1 for element C some g multiplicity 2 of of iff in F[x] Hint: Eliminate which X-C f(x) = field F f(c)=0. Moreover, a f(x) in 25 [x] bellow. from is and g(c) 70. which among the a is a C is a choices factor which roof of root are of a polynomial f of of multiplicity im if f(x) = g(x)(x-c)m 3 2 x5 + 4x² + 4x³ - x² - 4x + 1 the following is not f(x) twice. roots S a root of test
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