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Division of a Polynomial by a Monomial

Solve the fol...

Question

Solve the following
$(6 x^{4} + 4 x^{2} + 9 x + 5) \div (2 x + 3)$

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Solution

$(6 x^{4} + 4 x^{2} + 9 x + 5) \div (2 x + 3)$
Quotient $= (3 x^{3} - \frac{9}{2} x^{2} + \frac{35}{4} x - \frac{69}{8})$
Remainder $= \frac{247}{8}$

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