Fas explain how to determine the end behavior of a polynomial

Step-by-step explanation:

Given  : Statement.

To find : explain how to determine the end behavior of a polynomial.

Explanation :

End behavior of the polynomial is depending on the leading coefficient and the degree of the polynomial.

If the leading coefficient is positive and degree is even then the both end will be up .

If the leading coefficient is negative and degree is even then the both end will be down .

If the leading coefficient is positive and degree is odd then the right end will be up and left end will be down .

If the leading coefficient is negative  and degree is odd then the right end will be down and left end will be up .

To determine the end behavior of a polynomial, graph it and look at the ends of the line. The ends include which direction the polynomial is facing upwards/downwards, and leftwards/rightwards. The degree will and leading coefficient play a role in this too. Refer to the Law of Signs.

Step-by-step explanation:

use distributive property on all like terms and change your signs if you have a double negative or if you have positive/negative