(a)
\The polynomial function is
.
Draw a coordinate plane.
\Graph the polynomial function.
\Graph :
\=x%5E3-4x%5E2-2x+8_1.gif\")
Observe the graph of the function :
\The zeros are
.
(b)
\The polynomial function is
.
Observe the above graph of the function :
\The exact zero is 4.
\(c)
\The polynomial function is
.
From (b),
is a factor of polynomial
.

By using remainder theorem
and by using factor theorem
is a factor of
.
\
Factorize the quadratic expression
.

.
The complete factorization of
is
.
(a)
\Graph of the function
is : \ \
=x%5E3-4x%5E2-2x+8_1.gif\")
The zeros are
.
(b)
\The exact zero is 4.
\(c)
\The complete factorization of
is
.