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Dividing a Polynomial by a Polynomial

The quotient ...

Question

The quotient obtained when $15 x^{6} - 9 x^{4} + x^{3} + 6 x + 12$ is divided by $3 x^{2}$ is

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Solution

We see from the above that the quotient obtained when $15 x^{6} - 9 x^{4} + x^{3} + 6 x + 12$ is divided by $3 x^{2}$ is $5 x^{4} - 3 x^{2}$ .

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