Answer:
Step-by-step explanation:
Hello, please consider the following.
Construct a polynomial function with the following properties...
... fifth degree
It means that the polynomial can be written as below.
... 4 is a zero of multiplicity 3
We can write the polynomial as below.
... −2 is the only other zero
Because this is the only other zero, we can deduce that -2 is a zero of multiplicity 2.
... leading coefficient is 2.
Finally, it means that k = 2 and then the polynomial function is:
Hope this helps.
Do not hesitate if you need further explanation.
Thank you