Question

answer my question

get a brainlist point

Answer 1

Given Equation is f(x) = x^51 + 51.

By remainder theorem, we get

x + 1 = 0

x = -1.

plug x = -1 in  f(1), we get

Now,

(-1)^51 + 51

=-1 + 51

= 50.


Therefore the remainder is 50.


Hope this helps!

Answer 2

Hey !

$\boxed{ Remainder \: theorem : \: If \: f(x ) \: is \: divided \: by \: (x - a) \: then \: it \: leaves \: a \: remainder \: f( a) }$

Given,

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

If f ( x) is divided by ( x + 1 ) then remainder f ( - 1 ) .

f ( -1 ) = (-1)^ 51 + 51 = -1 + 51 = 50 .

Therefore if ${x}^{51} + 51$
is divided by ( x + 1 ) , It leaves a remainder 50