The x-intercepts are called roots, zeroes, or x-intercepts.

 

To find the zeroes, the equation must be in factored form, and one side must always equal 0.

 

Example 1:

x^2 + 11x + 30 = 0              ->This is a simple trinomial

(x + 5)(x+6) = 0                    -> 5 x 6 = 30, 5 + 6 = 11

                                           

x+5=0    x+6=0                   ->to solve for x, you must set each bracket = 0

x=-5        x=-6

 

To check: Substitute both zeroes into the left and right side of the original equation.