Use the Rational Roots Test to Find All Possible Roots x^4-12x^3+38x^2+116x+65

$x^{4} - 12 x^{3} + 38 x^{2} + 116 x + 65$

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.

$p = \pm 1, \pm 5, \pm 13, \pm 65$

$q = \pm 1$

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

$\pm 1, \pm 5, \pm 13, \pm 65$

Use the Rational Roots Test to Find All Possible Roots x^4-12x^3+38x^2+116x+65

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