$\"\"$

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The inequality is $\"\"$ .

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The inequality can be written as $\"\"$ .

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Taking $\"\"$ as common term.

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$\"\"$ .

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By trail and error method preform the synthetic division by testing $\"\"$ .

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$\"\"$

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Since $\"\"$ , conclude that $\"\"$ is a zero of $\"\"$ .

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Therefore $\"\"$ is a rational zero.

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The depressed polynomial is $\"\"$ .

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$\"\"$

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$\"\"$ .

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By trail and error method preform the synthetic division by testing $\"\"$ .

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$\"\"$

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Since $\"\"$ , conclude that $\"\"$ is a zero of $\"\"$ .

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Therefore $\"\"$ is a rational zero.

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The remaining quadratic factor is $\"\"$ can be written as $\"\"$ .

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The factored form of $\"\"$ is $\"\"$ .

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Therefore the zeros are $\"\"$ and $\"\"$ .

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$\"\"$

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Create a sign chart using the values $\"\"$ and $\"\"$ .

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$\"\"$

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Note : The solid circle denote that the value are included in the solution set.

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Observe the sign chart :

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The set of value of $\"\"$ denoted in blue color represents the solution set.

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Determine whether $\"\"$ is positive or negative on the test intervals.

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Test intervals are $\"\"$ and $\"\"$ .

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Subustiute the values in the equation $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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If $\"\"$ then $\"\"$ .

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The solutions of $\"\"$ are $\"\"$ values for which $\"\"$ is positive or equal to $\"\"$ .

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The solution set is $\"\"$ .

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$\"\"$

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The solution set of $\"\"$ is $\"\"$ .