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Let P(x) and Q(x) be two polynomials. If...

Let P(x) and Q(x) be two polynomials. If `f(x) = P(x^4) + xQ(x^4)` is divisible by `x^2 + 1`, then

A

P(x) is divisible by `(x-1)`

B

Q(x) is divisible by `(x-1)`

C

f(x) is divisible by `(x-1)`

D

none of these

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A, B, C
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