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How do you divide $N^{2} + 7 N + 10$ $N^2 + 7N+ 10$ by $N + 5$ $N+5$ ?

1 Answer

Mar 3, 2018

Quotient is $N + 2$ $N+2$ and remainder is $0$ $0$

Explanation:

$N^{2} + 7 N + 10$ $N^2+7N+10$

= $N^{2} + 5 N + 2 N + 10$ $N^2+5N+2N+10$

= $N \cdot (N + 5) + 2 \cdot (N + 5)$ $N*(N+5)+2*(N+5)$

= $(N + 5) \cdot (N + 2)$ $(N+5)*(N+2)$

Hence quotient is $N + 2$ $N+2$ and remainder is $0$ $0$

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