Question

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the given function value.n=3-3 and 5 + 5i are zeros f(-1)= 122

Answer 1

Given:

a.) n = 3

b.) -3 and 5 + 5i are zeros

c.) f(-1) = 122

Step 1: Let's determine the factors based on the zeros.

-3 and 5 + 5i are zeros

Therefore, the factors will be:

x + 3

5 + 5i = 5(1 + i)

x + 5(1 + i)

x - 5(1 + i)

0