Question 494884
Factoring shows where the x-axis crossings are
Suppose factoring an equation gives you
{{{ y = (x - a)*(x - b)*(x - c) }}}
If you set {{{y = 0}}}, then
{{{ 0 = (x - a)*(x - b)*(x - c) }}}
There are 3 ways this can be true:
{{{ x = a}}}
or
{{{x = b}}}
or
{{{x = c}}}
These are the places where the equation
crosses the x-axis
If I plot this with {{{a=1}}},{{{b=2}}} and {{{c=3}}},then
{{{ graph( 400, 400, -3, 5, -10, 10, (x-1)*(x-2)*(x-3)) }}}