$\"\"$

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The degree of $\"\"$ is $\"\"$ , the zeros are $\"\"$ , $\"\"$ and is $\"\"$ .

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Since the degree of the polynomial is $\"\"$ , the zeros of $\"\"$ are $\"\"$ .

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From the conjugate pair theorem, complex zeros occur in conjugate pairs.

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Conjugate of $\"\"$ is $\"\"$ .

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Conjugate of $\"\"$ is $\"\"$ .

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The five zeros are $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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If $\"\"$ are the zeros of the polynomial $\"\"$ , then the polynomial function can be written as $\"\"$ , where $\"\"$ is the leading coefficient of the polynomial.

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Consider the leading coefficient $\"\"$ as $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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Hence, the polynomial function is $\"\"$ and $\"\"$ .

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$\"\"$

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The polynomial function is $\"\"$ and $\"\"$ .