Write in Standard Form 1/6x^2+3+2x^4+10x^5-9x

$\frac{1}{6} x^{2} + 3 + 2 x^{4} + 10 x^{5} - 9 x$

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

Combine $\frac{1}{6}$ and $x^{2}$ .

$\frac{x^{2}}{6} + 3 + 2 x^{4} + 10 x^{5} - 9 x$

Step 3

Simplify the expression.

Move $3$ .

$\frac{x^{2}}{6} + 2 x^{4} + 10 x^{5} - 9 x + 3$

Move $\frac{x^{2}}{6}$ .

$2 x^{4} + 10 x^{5} + \frac{x^{2}}{6} - 9 x + 3$

Reorder $2 x^{4}$ and $10 x^{5}$ .

$10 x^{5} + 2 x^{4} + \frac{x^{2}}{6} - 9 x + 3$

Step 4

Reorder terms.

$10 x^{5} + 2 x^{4} + \frac{1}{6} x^{2} - 9 x + 3$