College Algebra 105

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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  1. 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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