OEF Polynomial --- Introduction ---

This module actually contains 32 exercises on one-variable polynomials (with real or complex coefficients): roots, degrees, composition, euclidean division, ...
Please note that this module is obsolete and it is only kept for backwards compatibility. You should use the module OEF Polynomialinstead, that contains an updated English version.

Deg gcd with derivative

. .  ?

Min. deg multiple roots

:
-1 .

Degree of sum

:
, ________.

Difference equation

.
x^3 , .

Find multiple root degree 3

.

Find multiple root degree 4

.

Find multiple root degree 5

.

Find multiple root degree 6

.

Given gcd with derivative

:
. x^3 , .

Given root deg 3

.

Min. deg gcd with derivative 2

. .  ?

Min. deg gcd with derivative n

. .  ?

Multiplicity of a root degree 3

. .

Multiplicity of a root degree 4

. .

Multiplicity of a root degree 5

. .

Multiplicity of a root degree 6

. .

Parametric multiplicity degree 3

.

Parametric multiplicity degree 4

.

Parametrized deg 2

 ? ( )

Parametrized deg 2 II

 ? ( .)

Roots complex polynomial deg 2

.

Function of roots deg 2

 ?
a.

Function of roots deg 3

 ,
 ?
a.

Re(root) deg 2

.  ?

Count roots with derivative

. .  ? ()

Root of composed polynomial

. . :
, .

Real roots deg 2

,
.

Root multiplicity of sum

:
, ________ .

Root status deg 2

?

factorization of trinomial

.

1.  :
= )2.
.

2.

-
= - 2 .
-
=

3. ( )( ). : .


Triple root deg 3

 ?

Triple root deg 3 II

?

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