Answer
Possible rational zeros = $\pm1, \pm2, \pm3, \pm4, \pm6, \pm12$
Work Step by Step
$f(x)=x^5-x^4-7x^3+7x^2-12x-12$
The constant term is 12.
Factors of 12:$ \pm1, \pm2, \pm3, \pm4, \pm6, \pm12$
Factors of leading coefficient, 1: $\pm1$
Possible rational zeros = Factors of 12 $\div$ Factors of 1
Possible rational zeros = $\pm1, \pm2, \pm3, \pm4, \pm6, \pm12$
