Write each polynomial function in standard form , classify it by degree and determine the end behavior of its graph y=2x^3-6x+3x^2+12

Respuesta :

Answer:

[tex]y=2x^3+3x^2-6x+12[/tex]

and the degree of this polynomial is 3.

Step-by-step explanation:

We are given the following polynomial and we are supposed to write it in the standard form and also classify it by its degree:

[tex]y=2x^3-6x+3x^2+12[/tex]

To write any polynomial in the standard form, you need to look at the degree of each of the terms that are present in the polynomial and then write them in the order of their degree, from highest to lowest (starting from left to write).

So the standard form of the given polynomial will be:

[tex]y=2x^3+3x^2-6x+12[/tex]

and the degree of this polynomial is 3.