Question

If x^51+51 devides by x+1 then find the remainder

Answer 1

50 is the answer to the question

Answer 2

When P ( x ) = x^51 + 51 divides by x + 1

Then using remainder theorem

P ( - 1 ) = remainder

so

P ( - 1 ) = x^51 + 51

=( - 1 )^51 + 51

= - 1 + 51

= 50

so the remainder is 50