any rational zeros have numerators which divide 13 and denominators which divide 169. That means
±(1,13)/±(1,13,169)
or,
±1 ±13 ±1/13 ±1/169
A little synthetic division shows that there are no rational roots.
use the rational zero's theorem to list the potential zero's of the polynomial function. Do not attempt to find the zero's f(x)=-169x^7-x^6+x+13 and then the second part is find the potential rational zero's.
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