The remainder when x^101 + 101 is divided by x + 1 is
The remainder when x101 + 101 is divided by x + 1 is
A) 1
B) 100
C) 101
D) 0
5 views
1 Answers
Correct option is (B) 100
Let p(x) = \(x^{101}+101\)
\(\because\) When p(x) is divided by (x+1), it leaves remainder p(-1).
Now, p(-1) = \((-1)^{101}+101\) = -1+101 = 100
Hence, the remainder when \(x^{101}+101\) is divided by \((x+1)\) is 100.
5 views
Answered