$\"\"$

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(a)

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The polynomial function is $\"\"$ .

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Draw a coordinate plane.

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Graph the function $\"\"$ .

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Graph of the function $\"\"$ is : \ \

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$\"graph$

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Observe the above graph :

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The zeros are $\"\"$ .

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$\"\"$

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(b)

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The polynomial function is $\"\"$ .

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The leading coefficient ( $\"\"$ ) is 1 and constant term is 12.

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The possible rational zeros : $\"\"$

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$\"\"$

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$\"\"$ .

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The possible rational zeros of polynomial are $\"\"$ .

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Determine that $\"\"$ is a rational zero by using the synthetic division.

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$\"\"$

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Determine that $\"\"$ is a rational zero by using synthetic division.

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$\"\"$

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Factor the resulting quadratic expression.

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$\"\"$ $\"\"$

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Apply Formula : $\"\"$ .

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$\"\"$

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The complete factorization of f(x) is $\"\"$ . $\"\"$

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Find the real zeros of the function by equating $\"\"$ to zero. \ \

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The real zeros of the function are $\"\"$ .

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$\"\"$

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(c)

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The complete factorization of f(x) is $\"\"$ . $\"\"$

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(a)

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Graph of the function $\"\"$ is : \ \

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$\"graph$

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The zeros are $\"\"$ .

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(b)

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The real zeros of the function are $\"\"$ .

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(c)

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The complete factorization of f(x) is $\"\"$ .