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Multiplication of Any Polynomial

Find the prod...

Question

Find the product : $(2 a + 3) (a^{2} + 3 a + 7)$

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Solution

We have, $\begin{matrix} (2 a + 3) (a^{2} + 3 a + 7) \end{matrix}$
$\begin{matrix} = 2 a^{3} + 6 a^{2} + 14 a + 3 a^{2} + 9 a + 21 = 2 a^{3} + 9 a^{2} + 23 a + 21 \end{matrix}$
Hence, $(2 a + 3) (a^{2} + 3 a + 7) = 2 a^{3} + 9 a^{2} + 23 a + 21$

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