Write in Standard Form g(x)=(5-x^5)/6

$g (x) = \frac{5 - x^{5}}{6}$

Step 1

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$g (x) = a x^{2} + b x + c$

Step 2

Split the fraction $\frac{5 - x^{5}}{6}$ into two fractions.

$g (x) = \frac{5}{6} + \frac{- x^{5}}{6}$

Step 3

Move the negative in front of the fraction.

$g (x) = \frac{5}{6} - \frac{x^{5}}{6}$

Step 4

Reorder $\frac{5}{6}$ and $- \frac{x^{5}}{6}$ .

$g (x) = - \frac{x^{5}}{6} + \frac{5}{6}$

Step 5

Reorder terms.

$g (x) = - (\frac{1}{6} x^{5}) + \frac{5}{6}$

Step 6

Remove parentheses.

$g (x) = - \frac{1}{6} x^{5} + \frac{5}{6}$