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Remainder Theorem

What will be ...

Question

What will be the quotient and remainder if $y^{2} + 10 y + 24 \div (y + 4)$ ?

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Solution

Given : $(y^{2} + 10 y + 24) \div (y + 4)$
$\begin{matrix} y + 6 y + 4 y^{2} + 10 y + 24 y^{2} + 4 y - - - -------------- - 6 y + 24 6 y + 24 - - - ------ - 0 - ------ - \end{matrix}$

Quotient = $(y + 6)$
Remainder = $0$

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