Use the Rational Roots Test to Find All Possible Roots f(x)=4x^11-20x^7+2x^3-15x+14

$f (x) = 4 x^{11} - 20 x^{7} + 2 x^{3} - 15 x + 14$

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.

$p = \pm 1, \pm 2, \pm 7, \pm 14$

$q = \pm 1, \pm 2, \pm 4$

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm \frac{1}{4}, \pm 2, \pm 7, \pm \frac{7}{2}, \pm \frac{7}{4}, \pm 14$

Use the Rational Roots Test to Find All Possible Roots f(x)=4x^11-20x^7+2x^3-15x+14

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