# What is the leading coefficient, degree, and end behavior #P(x)=-4x^2-3x^3+2x^2+4#?

##### 1 Answer

Please see the explanation below:

#### Explanation:

simplify and rewrite in standard form:

The leading coefficient is:

The degree of the polynomial is the highest power of any variable, so in this case we have a 3rd degree polynomial hence:

the degree =

The end behavior of the graph of a function is determined by its degree and the sign of its leading coefficient, as follows:

1)Even power with positive leading coefficient: up on both ends.

2)Even power with negative leading coefficient: down on both ends.

3)Odd power with positive leading coefficient: down on left side , up on right side.

4)Odd power with negative leading coefficient: up on left side , down on right side.

So in this case #4 applies:

up on left side , down on right side