Question

Which degree polynomials have ends that head off in opposite directions?Even degree polynomialsOdd degree polynomialsEven and odd degree polynomialsNone of the choices

Answer 1

Odd degree polynomials

Explanation:

In order to determine what degree polynomials have ends that head off in opposite directions, recall the rules of the leading coefficient test.

When using the Leading coefficient test, the following rule applies:

• When the ,degree is odd, and the leading coefficient is positive, the graph ,falls to the left and rises to the right.

,

• When the ,degree is odd, and the leading coefficient is negative, ,the graph rises to the left and falls to the right.

,

• When the degree is even and the leading coefficient is positive, the graph rises to the left and right.

,

• When the degree is even and the leading coefficient is negative, the graph falls to the left and right.

Thus, we see that when the degree of the polynomial is odd, the ends head off in opposite directions.

The second option is correct.