Question 549889
given zeros:
x= 0,0,2,3
from these we can derive the factors
x * x * (x-2) * (x-3) = x^4 - 5x^3 + 6x^2
looks like this
{{{ graph( 300, 200, -4, 4, -4, 10, x^4-5x^3+6x^2) }}}
:
and x = 1,1,2 
(x-1)^2 * (x-2) = (x^2-2x+1) * (x-2) = x^3 - 4x^2 + 5x - 2
looks like this
{{{ graph( 300, 200, -4, 4, -2, 2, x^3-4x^2+5x-2) }}}