This module actually contains 32 exercises on onevariable 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Please note that this module is obsolete and it is only kept for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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Description: collection of exercises on polynomials of one variable (real or complex coefficients). interactive exercises, online calculators and plotters, mathematical recreation and games
Keywords: interactive mathematics, interactive math, server side interactivity, algebra, polynomials,roots,gcd_lcm,complex_number