$\"\"$

The polynomial function is $\"\"$ .

Draw a coordinate plane.

Graph the function $\"\"$ .

Graph :

$\"graph$

Observe the above graph :

The zeros of the polynomial function " f " are $\"\"$ , and $\"\"$ .

$\"\"$

The factor form of polynomial function $\"\"$ .

The zeros of the polynomial function " f " are $\"\"$ , and $\"\"$ .

Observe the above graph :

The graph crosses the x - axis at $\"\"$ and $\"\"$ .

So, the zeros $\"\"$ and $\"\"$ have an odd multiplicity.

Observe the above graph :

The graph touches the x - axis (but does not cross the x - axis) at $\"\"$ .

So, the zero $\"\"$ has an even multiplicity. $\"\"$

Graph of the function $\"\"$ is : \ \

$\"graph$

The zeros $\"\"$ and $\"\"$ have an odd multiplicity.

The zero $\"\"$ has an even multiplicity.