Use the Rational Roots Test to Find All Possible Roots f(x)=-169x^5-x^4+x+13

$f (x) = - 169 x^{5} - x^{4} + x + 13$

Step 1

If a polynomial function has integer coefficients, then every rational zero will have the form $\frac{p}{q}$ where $p$ is a factor of the constant and $q$ is a factor of the leading coefficient.

$p = \pm 1, \pm 13$

$q = \pm 1, \pm 13, \pm 169$

Step 2

Find every combination of $\pm \frac{p}{q}$ . These are the possible roots of the polynomial function.

$\pm 1, \pm \frac{1}{13}, \pm \frac{1}{169}, \pm 13$

Use the Rational Roots Test to Find All Possible Roots f(x)=-169x^5-x^4+x+13

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