Question

Find the remainder , when p(x) = x^31 + 31 is divided by x + 1.

Answer 1

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

Let p(x) = x ^31 + 31.

Divisor = x + 1

By remainder theorem,

we have Remainder

p(−1) = (−1)^ 31 + 31 = −1 + 31 = 30

Thus, the remainder when (x 31 + 31) is divided by (x + 1 )

Answer 2

Answer:

$\huge\mathfrak\red{ANSWER!!!}$

Let p(x) = x ^31 + 31.

Divisor = x + 1

By remainder theorem,

we have Remainder

p(−1) = (−1)^ 31 + 31 = −1 + 31 = 30

Thus, the remainder when (x 31 + 31) is divided by (x + 1 )