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Solution Steps

1. Understand the question

   use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. the largest possible multiplicity is three. leave any remaining answer boxes empty.

   zeros\tmult.

   note: it is possible that some of the answer boxes will be empty!
   submit all parts

2. Explanation

   Step1: Identify zeros from x-intercepts

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

   Step2: Analyze multiplicity at $x=-4$

   Graph crosses x-axis, odd multiplicity. It has a sharp turn, so multiplicity = 3.

   Step3: Analyze multiplicity at $x=0$

   Graph crosses x-axis, odd multiplicity. No sharp turn, so multiplicity = 1.

   Step4: Analyze multiplicity at $x=4$

   Graph touches x-axis, even multiplicity. No sharp turn, so multiplicity = 2.

3. Final answer

   | Zeros | Mult. |
   |-------|-------|
   | $-4$ | $3$ |
   | $0$ | $1$ |
   | $4$ | $2$ |
   | | |

Answer

Question Analysis

OCR Text

use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. the largest possible multiplicity is three. leave any remaining answer boxes empty.

zeros\tmult.

note: it is possible that some of the answer boxes will be empty!
submit all parts

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