Use the Rational Roots Test to Find All Possible Roots f(x)=x^3+8x^2-58x-65

$f (x) = x^{3} + 8 x^{2} - 58 x - 65$

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.

$p = \pm 1, \pm 5, \pm 13, \pm 65$

$q = \pm 1$

Step 2

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

$\pm 1, \pm 5, \pm 13, \pm 65$

Use the Rational Roots Test to Find All Possible Roots f(x)=x^3+8x^2-58x-65

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