Degree of the polynomial function is
.
Number of distinct zeros
, in which
zero has multiplicity
.
Let
be the zero of multiplicity
, then factor can be written as
.
intercept of the polynomial function is
.
The graph behaves like
.
Graph :
\(1).Draw the coordinate plane.
\(2).Graph the function
.
From the above characteristics the polynomial equation can be written as
.

\ \
\ \

intercept of the polynomial function is
.
Equate the
in the obtained function.
Therefore the function is
\
.
Here the function depends on the values of
and
.
Hence the function is not a unique function.
\
The polynomial function is
.