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Multiplication of Any Polynomial

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Question

Multiply : $2 \sqrt{2} q^{4} + 4 \sqrt{2} q^{3} + q^{2} by (- 2 \sqrt{2} q^{2})$

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Solution

$(- 2 \sqrt{2} q^{2}) (2 \sqrt{2} q^{4} + 4 \sqrt{2} q^{3} + q^{2})$
$= - 8 q^{6} - 16 q^{5} - 2 \sqrt{2} q^{4}$

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