Use the Rational Roots Test to Find All Possible Roots f(x)=11x^3+125x^2+45x+11

$f (x) = 11 x^{3} + 125 x^{2} + 45 x + 11$

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.

$p = \pm 1, \pm 11$

$q = \pm 1, \pm 11$

Step 2

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

$\pm 1, \pm \frac{1}{11}, \pm 11$

Use the Rational Roots Test to Find All Possible Roots f(x)=11x^3+125x^2+45x+11

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