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

all of them

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The correct Answer is:

D

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