What are possible rational roots of polynomial function 0 = 3x^8 + 11x^5+4x+6

1,-1,2,-2,3,-3,6,-6, 1/3, - 1/3, 2/3, - 2/3

Step-by-step explanation:

Factors of the constant which are:

+1,-1,+2,-2,+3,-3,+6,-6

Also, these divided by the factors of the leading coefficient (3 in this case)

Factors of 3 are 1 & 3

Dividing by 1 will give the same values

Dividing by 3:

1/3,-1/3,2/3,-2/3,3/3,-3/3,6/3,-6/3

1/3,-1/3,2/3,-2/3,1,-1,2,-2

Distinct possibilities:

1,-1,2,-2,3,-3,6,-6, 1/3, - 1/3, 2/3, - 2/3