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 .