Use the Rational Roots Test to Find All Possible Roots x^4+25x^3-14x^2-19x+30

$x^{4} + 25 x^{3} - 14 x^{2} - 19 x + 30$

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.

$p = \pm 1, \pm 2, \pm 3, \pm 5, \pm 6, \pm 10, \pm 15, \pm 30$

$q = \pm 1$

Step 2

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

$\pm 1, \pm 2, \pm 3, \pm 5, \pm 6, \pm 10, \pm 15, \pm 30$

Use the Rational Roots Test to Find All Possible Roots x^4+25x^3-14x^2-19x+30

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