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UPSC 2017 CDS II Math Paper

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Question : 16

Total: 100

Let f(x)=a0xn+a1xn−1 +a2xn−2+...+an−1x+an, where a0,a1,a2,...,an are real numbers. If f(x) is divided by (ax−b), then the remainder is

f(
b
a
)
f(−
b
a
)
f(
a
b
)
f(−
a
b
)

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