SOLUTION: Hello! I need help finding the exact roots of this polynomial g(x)=2x^4-5x^3+9x^2-20x+4 if 2i is a zero I'd really appreciate the help, thank you so much for taking your time out

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello! I need help finding the exact roots of this polynomial g(x)=2x^4-5x^3+9x^2-20x+4 if 2i is a zero I'd really appreciate the help, thank you so much for taking your time out      Log On

 

Hi,

g(x)=2x^4-5x^3+9x^2-20x+4 

 2i is a zero, therefore so is -2i and  (x-2i)(x+2i) = x^2 + 4



x^2 + 4 |2x^4-5x^3+9x^2-20x+4   



gives: 2x^2  -5x + 1

 the other two roots