Use the Rational Roots Test to Find All Possible Roots M(x)=28x^3-27x^2+8x-2

$M (x) = 28 x^{3} - 27 x^{2} + 8 x - 2$

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.

$p = \pm 1, \pm 2$

$q = \pm 1, \pm 2, \pm 4, \pm 7, \pm 14, \pm 28$

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm \frac{1}{4}, \pm \frac{1}{7}, \pm \frac{1}{14}, \pm \frac{1}{28}, \pm 2, \pm \frac{2}{7}$

Use the Rational Roots Test to Find All Possible Roots M(x)=28x^3-27x^2+8x-2

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