let an vechor space, ļ Ek [x] polynomial with degree 21 is a and CEK. the Chara cteristcs of also m 의, and greates. the Rollowing Let m. k be 'O' or than Statements are Show that equivalent- i) The polypomial flm) bas m-fold zeropoint m-fold Zerepoint. at position `'. f0=f'cc) = i) It is but f c) #0 =p(m-)()=0, (Hier is flo) =f). Im) (0)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Task 4
let
an vechor spare,
f EK [x]
polynomial with degree z1
is
and
CEK .
the
Characteristics of
also m2l, and
than
greater.
Let
m.
k be 'O' or
the Rollowing
Statement.
are
Show that
equivalent:
i) The polypomial flw bas m-fold Zeropoint
at position
i) It is
f0=f'cc) =
() =0,
but f c) #0
(Hier is flo) =f).
Im)
Scanne
Transcribed Image Text:Task 4 let an vechor spare, f EK [x] polynomial with degree z1 is and CEK . the Characteristics of also m2l, and than greater. Let m. k be 'O' or the Rollowing Statement. are Show that equivalent: i) The polypomial flw bas m-fold Zeropoint at position i) It is f0=f'cc) = () =0, but f c) #0 (Hier is flo) =f). Im) Scanne
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