Question 9336
First, before you can have intercepts, you have to have the equation for a graph.  Do you mean find the intercepts for {{{ y = x^2 +x - 2}}}


If so, then the y intercept is always where x=0.  If x = 0, then y = -2.  That's the y-intercept.


The x-intercept is always where y = 0.  If y=0, this means that
{{{0 = x^2 + x -2}}} which is a quadratic equation.  (See my Lesson Plan on Solving Quadratic Equations and also Factoring Trinomials.)  This quadratic equation can be solved by factoring.


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


Set each factor equal to zero:
x+2 = 0
x= -2


x-1 = 0
x=1


Therefore, x = -2 and x= 1 are the x-intercepts.


R^2 at SCC