Divide $3 y^{4} - 8 y^{3} - y^{2} - 5 y - 5$ by $y - 3$ and find the quotient and the reminder.

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Solution

Consider the given polynomial.
$3 y^{4} - 8 y^{3} - y^{2} - 5 y - 5$
So, quotient and remainder shown in figure.

Hence, quotient is $3 y^{3} + y^{2} + 2 y + 1$ and remainder is $- 2$ .

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(y^{3} - 3 y^{2} + 5 y - 1)

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