If f(x) and g(x) are two polynomials such that \phi(x)=f (x^3) +x g (x^3) is divisible by x^2+x+1, then

Correct Answer is : φ(x) is divisible by (x−1)

none of f(x) and g(x) is divisible by (x-1)

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

f(x) io divisible hv (x-1) but g(x) is not divisible by (x-1)

WBJEE 2025 Math Paper

Question : 65 of 75

Marks: +1, -0

If f(x) and g(x) are two polynomials such that φ(x)=f(x3)+xg(x3) is divisible by x2+x+1, then

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