Question

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?

Answer 1

(x+6)(x-2)

x=2 and x=-6.

Answer 2

The x-intercepts occur when f(x)=0

x^2+4x-12=0  factor

x^2-2x+6x-12=0

x(x-2)+6(x-2)=0

(x+6)(x-2)=0

x=-6 and 2  or specifically the points (-6,0) and (2, 0)