Question 885061
To find the x-intercepts of a graph you need to set the equation of the graph equal to 0 and solve.  NOTE:  While there are two ways to solve this equation I would suggest solving by factoring as its much quicker than the quadratic formula. To factor {{{x^2-3X+2}}} we need to find two factors of 2 that multiply to 2 and add to -3.  Well the factors of 2 are 1 and 2 so the only way these add to -3 is if they are both negative.  After we have the equation factored we can set each factor equal to 0 and solve for x.  Doing so we get:

{{{x^2-3x+2}}} = 0
{{{(x-1)(x-2)}}} = 0 
{{{x-1 = 0}}} or {{{x-2=0}}}
x = 1 or x = 2 

So the x-intercepts of the graph are at x = 1 and x = 2.