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

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

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

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

Step 3

Move the negative in front of the fraction.

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

Step 4

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

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

Step 5

Reorder terms.

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

Step 6

Remove parentheses.

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