The multiplicity of a zero corresponds to the number of times a factor is repeated in the function.

$\cdot$ Odd multiplicity: cross the x-axis

$\cdot$ Odd multiplicity (3 or more): changes concavity when passing through x-axis

$\cdot$ Even multiplicity: bounces off the x-axis

$\cdot$ Odd multiplicity: cross the x-axis

$\cdot$ Odd multiplicity (3 or more): changes concavity when passing through x-axis

$\cdot$ Even multiplicity: bounces off the x-axis