Write polynomial equation, in factored form, with root 3(with a multiplicity of 2) and 4i

Root of 3 with a multiplicity of 2  means that  is a factor of the polynomial.and also: complex conjugate root theoremfor a polynomial equation (with real coefficients), if  is a complex root, then must also be a complex root.the conjugate of  is  .therefore,  are also factors.factored form of a possible polynomial equation:

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.