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(a)

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The polynomial function is $\"\"$ .

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The definition of real zeros : $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ .

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The real zeros of this polynomial function are $\"\"$ , $\"\"$ and $\"\"$ .

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The definition of zeros of multiplicity : $\"\"$ , the exponent of factor $\"\"$ is $\"\"$ .

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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(b)

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Find $\"\"$ -intercept substitute $\"\"$ in function.

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The polynomial function is $\"\"$ .

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$\"\"$

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$ .

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$\"\"$ , $\"\"$ and $\"\"$ .

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Graph touches $\"\"$ -axis at $\"\"$ and crosses at $\"\"$ , $\"\"$ .

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(c)

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$\"\"$

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Rewrite the above equation as $\"\"$ .

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At $\"\"$ ,

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$\"\"$

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At $\"\"$ ,

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$\"\"$

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At $\"\"$ ,

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$\"\"$

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(d)

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The polynomial function is $\"\"$ .

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

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Maximum number of turning points is $\"\"$ .

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The maximum number of turning points are $\"\"$ .

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(e)

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The polynomial function is $\"\"$ .

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$\"\"$

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The polynomial function of degree is $\"\"$ .

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The function $\"\"$ behaves like $\"\"$ for large values of $\"\"$ .

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(a)

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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At $\"\"$ the zeros of multiplicity is $\"\"$ .

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(b)

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Graph touches $\"\"$ -axis at $\"\"$ and crosses at $\"\"$ , $\"\"$ .

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(c)

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Near $\"\"$ : $\"\"$ ,

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Near $\"\"$ : $\"\"$ .

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Near $\"\"$ : $\"\"$ .

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(d)

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The maximum number of turning points are $\"\"$ .

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(e)

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The function $\"\"$ behaves like $\"\"$ for large values of $\"\"$ .