Question

If x⁹¹ +91 is divided by x + 1 then the remainder is​

Answer 1

To find : the remainder of the division →

$\frac{ {x}^{91} + 91}{x + 1}$

The above expression can be reduced into:

$\frac{90}{x + 1} + ( {x}^{90} - {x}^{89} + ... - x + 1)$

So, the remainder is 90