Algebra Examples

$x^{4} + 7 x - 3 x^{2} - x^{3}$

Step 1

Simplify.

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Step 1.1

Move $7 x$ .

$x^{4} - 3 x^{2} - x^{3} + 7 x$

Step 1.2

Move $- 3 x^{2}$ .

$x^{4} - x^{3} - 3 x^{2} + 7 x$

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.

$p = \pm 0$

$q = \pm 1$

Step 3

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

$0$