# How do you write a polynomial in standard form, then classify it by degree and number of terms 7g-3g^+8g^2-4?

Oct 14, 2017

In standard form, it is written as: $8 {g}^{2} + 4 g - 4$
The degree of the polynomial is $2$.
It is a trinomial.

#### Explanation:

$7 g - 3 g + 8 {g}^{2} - 4$

First see if there are any like terms and combine them, if any:

In the given polynomial, $7 g$ and $- 3 g$ can be added,so:

$4 g + 8 {g}^{2} - 4$

The degree of a term is determined by the exponent of the variable in that term.

Now look at the degree of each term in the polynomial:
$4 g$ has a degree of 1,
$8 g$ has a degree of 2, and
$4$ has a degree of 0.

Now write this polynomial in order of degree, highest to lowest:

$8 {g}^{2} + 4 g - 4$ --------- this is the standard form of the polynomial.

The highest degree identifies the degree of the polynomial, i.e. $2$.
The number of terms in the polynomial are $3$, so it is a trinomial.