Question

use the graph to identify zeros and multiplicity. order your zeros from least to greatest.
zero at \boxed{} with multiplicity \boxed{}.
zero at \boxed{} with multiplicity \boxed{}.
zero at \boxed{} with multiplicity \boxed{}.
zero at \boxed{} with multiplicity \boxed{}.

Explanation:

Step1: Identify x-intercepts (zeros)

The graph crosses/touches the x-axis at $x=-4$, $x=0$, $x=3$.

Step2: Analyze multiplicity at $x=-4$

Graph crosses x-axis, odd multiplicity (1, since it crosses sharply, no flattening).

Step3: Analyze multiplicity at $x=0$

Graph touches x-axis (bounces), even multiplicity (2, since it is a local minimum on the axis).

Step4: Analyze multiplicity at $x=3$

Graph crosses x-axis, odd multiplicity (1, sharp crossing, no flattening).

Step5: Order zeros least to greatest

Sort the zeros: $-4 < 0 < 3$.

Answer:

Zero at $\boldsymbol{-4}$ with multiplicity $\boldsymbol{1}$
Zero at $\boldsymbol{0}$ with multiplicity $\boldsymbol{2}$
Zero at $\boldsymbol{3}$ with multiplicity $\boldsymbol{1}$

(Note: The fourth blank pair is extraneous as the graph only has 3 distinct zeros.)