3-degree polynomial is f(x )=
Step-by-step explanation:
Given that polynomial f(x) is 3-degree polynomial and Zeros/Roots at x= and x= -3i
In order to find the equation of a 3-degree polynomial, we need 3 roots.
Here, One of Root is real number x= and another root is an imaginary number x=(-3i)
It is necessary to note that imaginary roots always come in pair of conjugates
Therefore, Comjugate0 of x =(-3i) is 3rd root
Conjugate of (-3i) is 3i
Evaluting equation of polynomial,
=
=
=
=
f(x )=