Use the Rational Roots Test to Find All Possible Roots f(x)=78x^4+143x^3-39x^2-26x

$f (x) = 78 x^{4} + 143 x^{3} - 39 x^{2} - 26 x$

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.

$p = \pm 0$

$q = \pm 1, \pm 2, \pm 3, \pm 6, \pm 13, \pm 26, \pm 39, \pm 78$

Step 2

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

$0$

Use the Rational Roots Test to Find All Possible Roots f(x)=78x^4+143x^3-39x^2-26x

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