Use the Rational Roots Test to Find All Possible Roots 33x^4-x^2+121

$33 x^{4} - x^{2} + 121$

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.

$p = \pm 1, \pm 11, \pm 121$

$q = \pm 1, \pm 3, \pm 11, \pm 33$

Step 2

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

$\pm 1, \pm \frac{1}{3}, \pm \frac{1}{11}, \pm \frac{1}{33}, \pm 11, \pm \frac{11}{3}, \pm 121, \pm \frac{121}{3}$

Use the Rational Roots Test to Find All Possible Roots 33x^4-x^2+121

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