If `p(x)=f_1(x^6)+xf_2(x^6)+x^2f_3(x^6)` and `p(x)` is divisible by `x^3+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 P(x) and Q(x) be two polynomials.Suppose that f(x) = P(x^3) + x Q(x^3) is divisible by x^2 + x+1, then (a) P(x) is divisible by (x-1),but Q(x) is not divisible by x -1 (b) Q(x) is divisible by (x-1), but P(x) is not divisible by x-1 (c) Both P(x) and Q(x) are divisible by x-1 (d) f(x) is divisible by x-1

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 ........

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(1)

f(x)=3x^(2)-6x+1

If 2f(x)-3f((1)/(x))=6x+(1)/(x) then find f(x) and f(2)

If f(x)= 2x^(3)+3x^(2)-11x+6 find f(-1)

Let f(x) be a polynomial of degree 6 divisible by x^(3) and having a point of extremum at x = 2 . If f'(x) is divisible by 1 + x^(2) , then find the value of (3f(2))/(f(1)) .