If the zeroes of a function are 3, 4, and -2i, which is the function?Select one of the options below as your answer: A. g(x) = x4 – 7x2 + 12x + 48 B. g(x) = x4 – 7x3 + 16x2 – 28x + 48 C. g(x) = x4 – x3 + 14x2 – 28x – 48 D. g(x) = x4 + x3 – 14x2 + 16x – 48

Question

If the zeroes of a function are 3, 4, and -2i, which is the function?Select one of the options below as your answer: A. g(x) = x4 – 7x2 + 12x + 48 B. g(x) = x4 – 7x3 + 16x2 – 28x + 48  C. g(x) = x4 – x3 + 14x2 – 28x – 48 D. g(x) = x4 + x3 – 14x2 + 16x – 48

terenzreignz · Answer

I hope you don't mind multiplying polynomials... 
Your best bet is to get a polynomial which is a product of some choice polynomials, in particular, if a number r is to be a zero of the function, then it must include the factor (x-r)