2. If x¹¹+101 is divided by x + 1, then what remainder do we get?

Question

asked Oct 25, 2021 13.4k views

1 Answer

Mujtaba Hassan · Answer 1 · 2021-10-31T17:36:25+0000

Answer:

Explanation:

To get the remainder of (x-(-1)) we need to evaluate for -1,

(-1)^(11)+101=-1+101=100

So if this is divided by x+1, it means that we can write

$x^(11)+101=(x+1)P(x)+R\\\\so \ for \ x = -1\\\\(-1)^(11)+101=100=0*P(-1)+R=R\\\\\text{So the remainder is 100 !!}$

thanks