1. The problem statement, all variables and given/known data In the polynomial [tex]x^5+22x^3-34x^2+117x-306[/tex] given that the roots on the real and imaginary plane are all integers, factorize the polynomial into real linear and quadratic factors. 3. The attempt at a solution I was able to find the real factor, which is x=2 and then I reduced the polynomial to this: [tex](x-2)(x^4+2x^3+26x^2+18x+153)[/tex] But this quartic has all complex roots, and I'm unsure how to find them given the information above. Please help!