If `g(x)` and `h(x)` are two polynomials such that the polynomials `P(x)=g(x^(3))+xh(x^(3))` is divisible by `x^(2)+x+1`, then which one of the following is not true?

Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g(x^(3))+xh(x^(3)) is divisible by x^(2)+x+1 , then which one of the following is not true?

Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g(x^(3))+xh(x^(3)) is divisible by x^(2)+x+1 , then which one of the following is not true?

If f(x) and g(x) are two polynomials such that the polynomial P(x)=f(x^(3))+g(x^(3)) is divisible by x^(2)+x+1 , then P(1) is equal to ........

Let g(x) and h(x) be two polynomials with real coefficients. If p(x) = g(x^(3)) + xh(x^(3)) is divisible by x^(2) + x + 1 , then

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

If f(x) and g(x) are two polynomials such that the polynomial h(x)=xf(x^(3))+x^(2)g(x^(6)) is divisible by x^(2)+x+1, then ( a )f(1)=g(1) (b) f(1)=1g(1)( ) h(1)=0 (d) all of these

If f(x) and g(x) are two polynomials such that the polynomial h(x)=xf(x^3)+x^2g(x^6) is divisible by x^2+x+1, then f(1)=g(1) (b) f(1)=1g(1) h(1)=0 (d) all of these

Let f(x) and g(x) be polynomials with real coefficients.If F(x)=f(x^(3))+xg(x^(3)) is divisible by x^(2)+x+1, then both f(x) and g(x) are divisible by

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 ?