Answer
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Step 1:**Step 1:** Recall the definition of a polynomial function.
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A polynomial function is a function of the form: **Step 2:** Note that the sine function is not of the above form. The sine function is defined as the ratio of the length of the side of a right triangle opposite the angle to the length of the hypotenuse. It can also be defined as an infinite series: This series is not a polynomial because it includes an infinite number of terms and division by factorials. **Step 3:** Furthermore, the sine function has an infinite number of roots. **
Final Answer
** Therefore, $sin(x)$ is not a polynomial function.
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