Algebra Examples

$\frac{1}{3} x + 8 x^{4} - \frac{2}{3} x^{2} - x$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Step 2

Simplify each term.

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Step 2.1

Combine $\frac{1}{3}$ and $x$ .

$\frac{x}{3} + 8 x^{4} - \frac{2}{3} x^{2} - x$

Step 2.2

Combine $x^{2}$ and $\frac{2}{3}$ .

$\frac{x}{3} + 8 x^{4} - \frac{x^{2} \cdot 2}{3} - x$

Step 2.3

Move $2$ to the left of $x^{2}$ .

$\frac{x}{3} + 8 x^{4} - \frac{2 x^{2}}{3} - x$

Step 3

Move $\frac{x}{3}$ .

$8 x^{4} - \frac{2 x^{2}}{3} + \frac{x}{3} - x$

Step 4

Reorder terms.

$8 x^{4} - (\frac{2}{3} x^{2}) + \frac{1}{3} x - x$

Step 5

Remove parentheses.

$8 x^{4} - \frac{2}{3} x^{2} + \frac{1}{3} x - x$