You can put this solution on YOUR website! if 4i is a root, -4i is also a root
It is a fourth degree polynomial
(x-3)(x-2)(x^2+16) is the polynomial or (x^2-5x+6)(x^2+16)
That is x^4+16x^2-5x^3-80x+6x^2+96
x^4-5x^3+22x^2-80x+96
multiply the whole thing by a
a(x^4-5x^3+22x^2-80x+96)=51 when x=-1
a(1+5+22+80-96)=51
a(12)=51
a=4.25 or 17/4
