Posted by Dawn Mason on Monday, December 9, 2013 at 11:45am.
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^7x^6+x+13 and then the second part is find the potential rational zero's.

College Algebra 105  Steve, Monday, December 9, 2013 at 12:15pm
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.
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