x intercepts are the roots (remember that y=0 at x intercepts)
for roots r1 and r2, the factors are (x-r1) and (x-r2)
factor
f(x)=x^3-6x^2+9x
factour out x
f(x)=(x)(x^2-6x+9)
factor
f(x)=(x)(x-3)(x-3)
f(x)=(x-0)(x-3)(x-3)
the x intercepts are at x=0, and at x=3
solutions are
(0,0) and (3,0)
