Consider the graph of the polynomial function below.
-The degree of the polynomial is... even or odd
- The leading coefficient is... negative or positive
- The polynomial has... three zeros or four zeros

Consider the graph of the polynomial function below The degree of the polynomial is even or odd The leading coefficient is negative or positive The polynomial h class=

Respuesta :

Answer:

  1. The degree of the polynomial is even.
  2. The leading coefficient is positive.
  3. The polynomial has four zeros.

Step-by-step explanation:

As shown at the graph

The polynomial function intersects with x-axis at 4 points and opens up.

So, we can deduce that:

1) The degree of the polynomial is the fourth degree because it have  4 points of intersection with the x-axis

So, The degree of the polynomial is even

2) As the curve opens up ⇒ The leading coefficient is positive

Leading coefficients are the numbers written in front of the variable with the largest exponent.

3) The polynomial has four zeros because it have 4 points of intersection with the x-axis

The zeros of the polynomial are the values of x at which y = 0