Question

the graph of a \\(4^{\text{th}}\\) degree polynomial is shown below. use the fundamental theorem of algebra to determine the number of real and imaginary zeros.

number of real zeros:
number of imaginary zeros:

Explanation:

Step1: Identify total zeros

$$n = 4$$

Step2: Count real zeros

$$\text{Real zeros} = 2$$

Step3: Calculate imaginary zeros

$$4 - 2 = 2$$

Answer:

Number of real zeros: 2
Number of imaginary zeros: 2