Question 4240
 i) x^3-2x^2-2x-3 
   = x^3 -3x^2 + x^2-2x-3
   = x^2(x-3)-(x^2-2x-3)
   = x^2(x-3)-(x-3)(x+1)
   = (x-3)(x^2-x-1)

  Roots are 3, [1+sqrt(5)]/2, [1-sqrt(5)]/2

 ii) x^3+x^2+x+1
  = x^2(x+1) +(x+1)
  = (x+1)(x^2+1)

 Roots are -1,i and -i.

 (iii) x^4+3x^3+3x^2+3x+2 
   = (x^4+ x^3)+ (2x^3+ 2x^2)+ (x^2+3x+2 )
   = x^3(x+1) + 2x^2(x+1) + (x+1)(x+2)
   = (x+1)[x^3+2x^2+x+2]
   = (x+1)(x+2)(x^2+1)
 
 Roots are -1,-2,i, & -i

 Kenny