Question
If $x^{101}+101$ is divided by $x+1$, then the remainder is
✓
Answer
B. 100
Let $f(x)=x^{101}+101$. If $f(x)$ is divided by $x+1$, then
\[\text { Remainder }=f(-1)=(-1)^{101}+101=-1+101=100\]
Let $f(x)=x^{101}+101$. If $f(x)$ is divided by $x+1$, then
\[\text { Remainder }=f(-1)=(-1)^{101}+101=-1+101=100\]
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