Use the Rational Roots Test to Find All Possible Roots 2x^4-21x^3+49x^2+9x-63

$2 x^{4} - 21 x^{3} + 49 x^{2} + 9 x - 63$

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.

$p = \pm 1, \pm 3, \pm 7, \pm 9, \pm 21, \pm 63$

$q = \pm 1, \pm 2$

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm 3, \pm \frac{3}{2}, \pm 7, \pm \frac{7}{2}, \pm 9, \pm \frac{9}{2}, \pm 21, \pm \frac{21}{2}, \pm 63, \pm \frac{63}{2}$

Use the Rational Roots Test to Find All Possible Roots 2x^4-21x^3+49x^2+9x-63

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