# How do you find the degree, leading term, the leading coefficient, the constant term and the end behavior of #g(x)=3x^5-2x^2+x+1#?

##### 1 Answer

#### Answer:

Degree:

Leading term:

Leading Coefficient:

Constant:

End behavior: See below in blue

#### Explanation:

The degree is the sum of the exponents on all terms. Our exponents are

The leading term of a polynomial is just the term with the highest degree, and we see this is

The leading coefficient is just the number multiplying the highest degree term. The coefficient on

The constant term is just a term without a variable. In our case, the constant is

For end behavior, we want to consider what our function goes to as

In our polynomial

Our limits describe our limit behavior.

Hope this helps!