Use the Rational Roots Test to Find All Possible Roots f(x)=4x^3-16x^2+9x+9

$f (x) = 4 x^{3} - 16 x^{2} + 9 x + 9$

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.

$p = \pm 1, \pm 3, \pm 9$

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

Step 2

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

$\pm 1, \pm \frac{1}{2}, \pm \frac{1}{4}, \pm 3, \pm \frac{3}{2}, \pm \frac{3}{4}, \pm 9, \pm \frac{9}{2}, \pm \frac{9}{4}$

Use the Rational Roots Test to Find All Possible Roots f(x)=4x^3-16x^2+9x+9

Related Questions

Support LCMGCF.com by disabling your adblocker.