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Degree of the function is $\"\"$ .

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Fifth degree polynomial function is in the form $\"\"$ .

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The polynomial function has a real zeros at $\"\"$ and $\"\"$ .

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Note : $\"\"$ has multiplicity $\"\"$ , it occurs thrice as a zero of the function.

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If $\"\"$ is a real zero of a polynomial function $\"\"$ , then $\"\"$ is a factor of $\"\"$ .

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Therefore, $\"\"$ and $\"\"$ are the factors of $\"\"$ .

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Thus, the polynomial function is $\"\"$ .

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$\"\"$ .

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The polynomial function contains the point $\"\"$ , therefore $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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Substitute the value of $\"\"$ in $\"\"$ .

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$\"\"$ .

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Therefore, the possible polynomial function is $\"\"$ .

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$\"\"$ .