$\"\"$

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The equations are $\"\"$ and $\"\"$ .

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The expression is $\"\"$ .

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Divide the first term of the dividend by the first term of the divisor $\"\"$ .

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So,the first term of the quotient is $\"\"$ .

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Multiply $\"\"$ by $\"\"$ and subtract.

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

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Divide the first term of the last row by first term of the divisor $\"\"$ .

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The 2 nd term of the quotient is $\"\"$ .

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Multiply $\"\"$ by $\"\"$ and subtract.

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$\"\"$

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

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The remainder is the last entry in the last row. There fore, $\"\"$ .

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The number along the bottom row are the coefficients of the quotient.

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By the division algorithm theorem, the result of the division is $\"\"$ .

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The result of the division is $\"\"$ . $\"\"$

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Thus, $\"\"$ .