How do you write a polynomial function with the given zeros 2 and 2i and degree 3?
You need to write three factors:
Now, expand the expression:
Notice that the polynomial is of degree 3, called a "cubic".
Observe that the graph of the function only has one "zero" at 2. That is because the other two algebraic zeros are imaginary numbers, 2i and -2i, which can not be plotted on the real number coordinate plane: