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If p(x) is a common multiple of degree 6...

If p(x) is a common multiple of degree 6 of
the polynomials f(x) = `x^(3)+x^(2)-x-1` and
`g(x)=x^(3)-x^(2)+x-1` then which one of the
following is correct ?

A

`p(x)=(x-1)^(2)(x+1)^(2)(x^(2)+1)`

B

`p(x)=(x-1)(x+1)(x^(2)+1)^(2)`

C

`p(x)=(x-1)^(3)(x+1)(x^(2)+1)`

D

`p(x)=(x-1)^(2)(x^(4)+1)`

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