Use the rational zero theorem to find all possible rational

Use the rational zero theorem to find all possible rational zeros of the polynomial: f(x) = 55x^4 + 6x^3 - 2x^2 + 3x + 6 A. plusminus 1, plusminus 2, 2/5, plusminus 3/5, plusminus 2/11, plusminus 3/11 B. plusminus 2/5, plusminus 3/5, plusminus 6/5, plusminus 1/11, plusminus 2/11, plusminus 3/11, plusminus 6/55 c. plusminus 1, plusminus 2, plusminus 3, plusminus 6, plusminus 2/11, plusminus 3/11, plusminus 6/11, plusminus 1/55, plusminus 2/55, plusminus 3/55, plusminus 6/55 D. plusminus 1, plusminus 2, plusminus 3, plusminus 6, plusminus 1/5, plusminus 2/5, plusminus 3/5, plusminus 6/5, plusminus 1/11, plusminus 2/11, plusminus 3/11, plusminus 6/11, plusminus 1/55, plusminus 2/55, plusminus 3/55, plusminus 6/55 A B C D

Solution

f(x) =55x⁴+6x³-2x²+3x+6

Leading coefficient is 55 and factors are 1,5,11,55

Constant is 6 and its factor are 1,2,3,6

possible rational zeroes are +-(1,2,3,6)/(1,5,11,55)

+-1,+-2,+-3,+-6,+-1/5,+-2/5,+-3/5,+-6/5,+-1/11,+-2/11,+-3/11,+-6/11,+-1/55,+-2/55,+-3/55,+-6/55

option D