Use the Rational Roots Test to Find All Possible Roots 8-4x^3+4x^6=0

$8 - 4 x^{3} + 4 x^{6} = 0$

Step 1

Simplify.

Move $8$ .

$- 4 x^{3} + 4 x^{6} + 8$

Reorder $- 4 x^{3}$ and $4 x^{6}$ .

$4 x^{6} - 4 x^{3} + 8$

Step 2

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.

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

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

Step 3

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

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

Use the Rational Roots Test to Find All Possible Roots 8-4x^3+4x^6=0

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