Which of the following are the possible rational zeros A plu

Which of the following are the possible rational zeros? A. plusminus 1/2, plusminus 1/4, plusminus 13/2, plusminus 13/4 B. plusminus 1, plusminus 2, plusminus 4, plusminus 1/13, plusminus 2/13, plusminus 4/13 C. plusminus 1, plusminus 13, plusminus 1/2, plusminus 1/4, plusminus 13/2, plusminus 13/4 D. plusminus 1/13, plusminus 2/13, plusminus 4/13

Solution

Given function is f(x)=13x^6+7x^3+7x^2-7x+4

Here the coefficient of heigher degeee=13 and constant =4

The factor of 4=+1,-1, +2, -2, +4, -4

so, the Possible Rational zeros are: +1,-1, +2, -2, +4, -4

Since the coefficient of heighert degree =13

so,the possible zeros are:-   +1/13,-1/13, +2/13, -2/13, +4/13, -4/13

Hence all possible rational zeros are:   +1,-1, +2, -2, +4, -4, +1/13,-1/13, +2/13, -2/13, +4/13, -4/13...(B)