Use the Rational Roots Test to Find All Possible Roots f(x)=2x^4-x^3+49x^2-25x-25

$f (x) = 2 x^{4} - x^{3} + 49 x^{2} - 25 x - 25$

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.

$p = \pm 1, \pm 5, \pm 25$

$q = \pm 1, \pm 2$

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm 5, \pm \frac{5}{2}, \pm 25, \pm \frac{25}{2}$

Use the Rational Roots Test to Find All Possible Roots f(x)=2x^4-x^3+49x^2-25x-25

Related Questions

Support LCMGCF.com by disabling your adblocker.