Perform the following divisions and give the remainders.
$(x^{2} + 15 x + 56) \div (x + 8)$

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Solution

According to question,

$\frac{(x^{2} + 15 x + 56)}{x + 8}$

$⟹ \frac{(x + 7) (x + 8)}{x + 8}$

$⟹ x + 7$

Here, Numerator is completely divisible by denominator.

Hence, remainder is $0$

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