Algebra Examples

$- 9 + \frac{1}{8} x - 7 x^{4} + x^{2} - x^{5}$

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

Combine $\frac{1}{8}$ and $x$ .

$- 9 + \frac{x}{8} - 7 x^{4} + x^{2} - x^{5}$

Step 3

Simplify the expression.

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Step 3.1

Move $- 9$ .

$\frac{x}{8} - 7 x^{4} + x^{2} - x^{5} - 9$

Step 3.2

Move $\frac{x}{8}$ .

$- 7 x^{4} + x^{2} - x^{5} + \frac{x}{8} - 9$

Step 3.3

Move $x^{2}$ .

$- 7 x^{4} - x^{5} + x^{2} + \frac{x}{8} - 9$

Step 3.4

Reorder $- 7 x^{4}$ and $- x^{5}$ .

$- x^{5} - 7 x^{4} + x^{2} + \frac{x}{8} - 9$

Step 4

Reorder terms.

$- x^{5} - 7 x^{4} + x^{2} + \frac{1}{8} x - 9$