Question 465261
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
 f(x)=x^3+x^2-3x+1 | x = 1 is a root, 1+1-3+1 = 0
{{{(x^3+x^2-3x+1)/(x-1)}}} = x^2+2x-1 = (x+1)^2-2 , x = {{{-1+-sqrt(2)}}}
-2.414,.414,1 possible roots
{{{drawing(300,300,   -6, 6, -6, 6,grid(1),
circle(1, 0,0.2),
circle(.414, 0,0.2),
circle(-2.414, 0,0.2),
graph( 300, 300, -6, 6, -6, 6,0,x^3+x^2-3x+1))}}}