Answer:
- The degree of the polynomial is even.
- The leading coefficient is positive.
- 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