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Publisher of books and
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The
book is also accompanied by the separate eight-page summary which
contains the whole |
| theory called Classification
of the polynomial with real coefficients - application to quadratic, |
|
cubic,
quartic, quintic,..., which is explained and shown through
formulas, flow
charts, graphs |
| and examples enabling quick review. |
 |
| As
the theory is based on the fact that every
polynomial has its initial position in the origin of |
| a coordinate
system, that is, the real polynomial function written in the general or
standard |
| form (n+1
terms) really represents the translation of its source function (n-1
terms), provided |
| is the algorithm
which yields the coordinates of translations and the coefficients of the
source |
| polynomial
function. |
| Furthermore,
the summary provides: |
- the classification, carried out in
the form of flow charts, of the cubic, quartic, quintic,...
polynomial. The classification explicitly define the necessary and
sufficient conditions for each type of the polynomial, as well as
their variations.
- the graphs that determines the shape
and define each type of the polynomial.
- the formulas for calculating, the
real roots, stationary or critical points as; maximums, minimums and
points of inflection.
- it also provides the classification,
the graphs and formulas for calculating the real roots and
stationary points for the types of nth-degree
polynomials which are solvable by radicals.
|
| Given are the
examples that verifies the theory as can be seen on the parts of the
pages of |
| the summary
below. |
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top of page - |
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