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

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Answer 1 · 2017-10-14T11:17:10

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

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

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

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

$4g +8g^2-4$

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:
$4g$ has a degree of 1,
$8g$ has a degree of 2, and
$4$ has a degree of 0.

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

$8g^2+ 4g -4$ --------- 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.

How do you write a polynomial in standard form, then classify it by degree and number of terms 7g-3g^+8g^2-47g-3g^+8g^2-4?