Use the Rational Roots Test to Find All Possible Roots 10x^4-13x^3-21x^2+10x+8=0

$10 x^{4} - 13 x^{3} - 21 x^{2} + 10 x + 8 = 0$

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.

$p = \pm 1, \pm 2, \pm 4, \pm 8$

$q = \pm 1, \pm 2, \pm 5, \pm 10$

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm \frac{1}{5}, \pm \frac{1}{10}, \pm 2, \pm \frac{2}{5}, \pm 4, \pm \frac{4}{5}, \pm 8, \pm \frac{8}{5}$

Use the Rational Roots Test to Find All Possible Roots 10x^4-13x^3-21x^2+10x+8=0

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