Algebra Examples

$x^{2} - 7 + 3 x + 8 x^{4} - \frac{x^{5}}{8}$

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

Move $- 7$ .

$x^{2} + 3 x + 8 x^{4} - \frac{x^{5}}{8} - 7$

Step 3

Move $3 x$ .

$x^{2} + 8 x^{4} - \frac{x^{5}}{8} + 3 x - 7$

Step 4

Move $x^{2}$ .

$8 x^{4} - \frac{x^{5}}{8} + x^{2} + 3 x - 7$

Step 5

Reorder $8 x^{4}$ and $- \frac{x^{5}}{8}$ .

$- \frac{x^{5}}{8} + 8 x^{4} + x^{2} + 3 x - 7$

Step 6

Reorder terms.

$- (\frac{1}{8} x^{5}) + 8 x^{4} + x^{2} + 3 x - 7$

Step 7

Remove parentheses.

$- \frac{1}{8} x^{5} + 8 x^{4} + x^{2} + 3 x - 7$