Question Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and
-8i

Step-by-step explanation:

A standard polynomial in factored form is given by:

Where p and q are the zeros.

We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.

First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.

Therefore, we acquire:

Simplify:

Expand the second and third factors:

Hence, our function is now:

It equals 320 when x = 4. Therefore:

Solve for a. Evaluate:

So:

Our third-degree polynomial equation is:

the median here is 25. your lowest value is 14 and highest value is 48. to find the third quartile, find the medium number in between 25 and 48 which would be 42 i believe.

answer: 1 and 3

step-by-step explanation: