WeBWorK using host: https://webwork-ptx.aimath.org, format: simple seed: 488

Suppose a polynomial $g(x)$ has roots $x = 3$ and $x = 5\text{.}$

If the multiplicity of $x = 3$ is $9\text{,}$ then what will the graph look like near the point $(3,0)\text{?}$
Answer: and

If the multiplicity of $x = 5$ is $2\text{,}$ then what will the graph look like near the point $(5,0)\text{?}$
Answer: and