Use the Rational Roots Test to Find All Possible Roots x^7-2x^6+3x^2-2x+5=0

$x^{7} - 2 x^{6} + 3 x^{2} - 2 x + 5 = 0$

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.

$p = \pm 1, \pm 5$

$q = \pm 1$

Step 2

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

$\pm 1, \pm 5$

Use the Rational Roots Test to Find All Possible Roots x^7-2x^6+3x^2-2x+5=0

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