Разделите многочлен \(\displaystyle 8x^{\,4}+14x^{\, 3}+17x^{\,2}+16x+5\) на многочлен \(\displaystyle 2x^{\,2}+3x+1{\small :}\)

\(\displaystyle -\)	\(\displaystyle \phantom{\,\,}8x^{\,4}+14x^{\, 3}+17x^{\,2}+16x+5\)				\(\displaystyle 2x^{\,2}+3x+1\)
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	\(\displaystyle \phantom{ 8x^{\,4}\,} -\)	[ ]
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		\(\displaystyle \phantom{ x^{\,4}\,} -\)		[ ]
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				\(\displaystyle 0\)

Найдите недостающий множитель в разложении:

\(\displaystyle 8x^{\,4}+14x^{\, 3}+17x^{\,2}+16x+5=(2x^{\,2}+3x+1) \cdot (\)[ ]\(\displaystyle ).\)