# How do you identify the terms in the polynomial expression, 6x^3-5x+2 and give the degree of each term?

Sep 29, 2016

$3 \text{ }$terms

#### Explanation:

Terms in an expression are separated from each other by
$+ \mathmr{and} -$signs as long as the $+ \mathmr{and} -$signs are not:

$\rightarrow \text{ }$ in a bracket
$\rightarrow \text{ }$ in a fraction
$\rightarrow \text{ }$ under a root

in which case they do not count.

The expression $\textcolor{red}{6 {x}^{3}} \textcolor{b l u e}{- 5 x} \textcolor{f \mathmr{and} e s t g r e e n}{+ 2}$ is a trinomial and has 3 separate terms

$\textcolor{red}{6 {x}^{3}}$ is a third degree term

$\textcolor{b l u e}{- 5 x}$ is a term of the 1st degree

$\textcolor{f \mathmr{and} e s t g r e e n}{+ 2}$ is the constant term which does not have a variable.
$\text{ }$It is a term of degree 0.