Use the Rational Roots Test to Find All Possible Roots f(x)=15x^3+371x^2-103x-75

$f (x) = 15 x^{3} + 371 x^{2} - 103 x - 75$

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.

$p = \pm 1, \pm 3, \pm 5, \pm 15, \pm 25, \pm 75$

$q = \pm 1, \pm 3, \pm 5, \pm 15$

Step 2

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

$\pm 1, \pm \frac{1}{3}, \pm \frac{1}{5}, \pm \frac{1}{15}, \pm 3, \pm \frac{3}{5}, \pm 5, \pm \frac{5}{3}, \pm 15, \pm 25, \pm \frac{25}{3}, \pm 75$

Use the Rational Roots Test to Find All Possible Roots f(x)=15x^3+371x^2-103x-75

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