What are the x-intercepts for the graph of y = x2 + 5x - 6?

We can use grouping to solve this quadratic because it can be factored.

x2+5x-6=0

x2 +6x-x-6=0

(x2+6x)-(x+6)=0

x(x+6)-(x+6)=0

(x-1)(x+6)=0

Next we can use the zero product property

x-1=0

x=1

or

x+6=0

x=-6