Degree​ 4; ​ zeros: -2 -4 i ; -3 multiplicity 2

Question

Enter the polynomial

Answer 1

(x - (-2 - 4i)) ( x - (-2 + 4i)) (x- -3)(x - -3) =

 

(x +2 + 4i)( x +2 - 4i)(x+3)(x+3) =

 

[(x+2) + 4i ][ (x+2) - 4i] (x+3)^2 =

 

 [(x+2)^2 + 16][x^2 + 6x + 9]

 

[x^2 + 4x + 4 + 16][x^2 + 6x + 9]

 

[x^2 + 4x + 20][x^2 + 6x + 9]

 

finish it from there