Algebra Examples

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

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 $\frac{1}{4}$ and $k^{2}$ .

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

Step 3

Reorder.

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Step 3.1

Move $- 1$ .

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

Step 3.2

Move $8 k$ .

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

Step 4

Reorder terms.

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