Question

If (x^51 +1) is divided by (x +1) where x is greater than 50, the remainder is

Answer 1

Answer:

x^51 = (-1)

x = (-1) [Since, exponent is an odd number]

Put the value of x as (-1) and solve:

x + 1 = (-1) + 1 = 0

Remainder = 0

Answer 2

Answer : 0

Step by step explanation :

Let p(x) = x^51+ 1.. (1)

After dividing p(x) by (x + 1), we get the remainder as (-1)

Putting (x) as (-1) in eq. (1),

p(-1) = (-1)^51 + 1

= -1 + 1

= 0

Hence, The remainder is 0.

Answer => 0