Question

if x's power 51 + 51 is divided by x+1 than reminder is​

Answer 1

$\huge\boxed{\fcolorbox{blue}{orange}{HELLO\:MATE}}$

GIVEN:

$x^{51}+51$ is divided by $x+1$

TO FIND:

The remainder

ANSWER:

Let

$p(x) =x^{51}+51$

$\large{\red{By\:remainder\:theorem}}$

Let

=>$x + 1=0$

=>$x=-1$

Therefore by remainder theorem, remainder will be p(-1).

Let remainder be r.

______________________________________

=> $r =-1^{51}+51$

=>$r =(-1) +51$

=>$r =51-1$

=> $r =50$

______________________________________

Therefore the remainder will be 0.

$\huge\orange{\boxed{Remainder=50}}$