Algebra Examples

$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$

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 $\frac{27}{2}$ and $x^{2}$ .

$27 x^{3} + \frac{27 x^{2}}{2} + \frac{9}{4} x + \frac{1}{8}$

Step 2.2

Combine $\frac{9}{4}$ and $x$ .

$27 x^{3} + \frac{27 x^{2}}{2} + \frac{9 x}{4} + \frac{1}{8}$

Step 3

Reorder terms.

$27 x^{3} + \frac{27}{2} x^{2} + \frac{9}{4} x + \frac{1}{8}$