Question

type the correct answer in each box. use numerals instead of words. the polynomial has \boxed{} real zeros and \boxed{} complex zeros.

Explanation:

Step1: Count real zeros from graph

Real zeros are x-intercepts. The graph crosses/touches the x-axis at $x=-6$, $x=0$, $x=6$, so there are 3 real zeros.

Step2: Determine polynomial degree

The graph has 2 turning points, so degree $n = 2+1=3$.

Step3: Calculate complex zeros

Total zeros = degree. Complex zeros = $3-3=0$.

Answer:

The polynomial has 3 real zeros and 0 complex zeros.