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If f(x)=g(x^(3))+xh(x^(3)) is divisiblel...

If `f(x)=g(x^(3))+xh(x^(3))` is divisiblel by `x^(2)+x+1`, then

A

g(x) is divisible by (x-1) but not h(x) but not h(x)

B

h(x) is divisible by (x-1) but not g(x)

C

both g(x) and h(x) are divisible by (x-1)

D

None of above

Text Solution

Verified by Experts

The correct Answer is:
C
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