$\"\"$

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(a)

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The rational expression is $\"\"$ .

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First divided by numerator by $\"\"$ .

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$\"\"$

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

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Rewrite the expression into partial fraction.

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$\"\"$

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Find the values of $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .

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Equate the coefficent of $\"\"$ , $\"\"$ and constant.

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

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

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$\"\"$

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$\"\"$

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

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$\"\"$

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$\"\"$

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

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Substistute the $\"\"$ , $\"\"$ and $\"\"$ values in equation $\"\"$ .

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$\"\"$

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The partial decomposed function is $\"\"$ .

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$\"\"$

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(b)

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Graph :

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Graph the partial decomposed function $\"\"$ and $\"\"$ .

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$\"\"$

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Observe the graph.

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$\"\"$ .

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$\"\"$

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(a) The partial decomposed function is $\"\"$ .

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(b)

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Graph of the partial decomposed function $\"\"$ and $\"\"$ .

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$\"\"$