Finite Math Examples

$441 x - 84 x^{2} + 4 x^{3}$

Step 1

Simplify.

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Step 1.1

Move $441 x$ .

$- 84 x^{2} + 4 x^{3} + 441 x$

Step 1.2

Reorder $- 84 x^{2}$ and $4 x^{3}$ .

$4 x^{3} - 84 x^{2} + 441 x$

Step 2

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.

$p = \pm 0$

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

Step 3

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

$0$