Write a polynomial function if its leading coefficient is -3, and its roots include 4, 0 and 5x-2i.

Step-by-step explanation:

Complex roots come in conjugates.  Your roots are

x = -3i

x= 3i

x = 2

x = -i

x = i

Since  i=√-1 , then i2=-1

For the root   x = 3i , we can say that the factor is  

(x - 3i)(x + 3i) = x2 - 9i2

                     = x2 - 9(-1)

                     = x2 + 9

(x - i)(x + i) = x2 - i2

                 = x2 + 1

Then your polynomial is

f(x) = (x - 2)(x2 + 1)(x2 + 9)

y=1/4x-4

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