The possible rational roots are
[tex]=\frac{\text{factors of the constant}}{\text{factors of the lead coefficient}}[/tex]
The constant is 14, and its factors are:
[tex]\pm1,\pm2,\pm7,\pm14[/tex]
The lead coefficient is 1, and its factors are:
[tex]\pm1[/tex]
Then, the possible rational roots for this equation are
[tex]\frac{\pm1,\pm2,\pm7,\pm14}{\pm1}=\pm1,\pm2,\pm7,\pm14[/tex]
Since, 7 is a possible rational root, the answer is option C
