Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)? (0,6) (0,–6) (6,0) (–6,0)

The point which represent an x-intercept of the quadratic function

f(x) = (x + 6)(x – 3)  is the point  (-6,0)


Explanation of the
x-intercept can be found by substitute with f(x) = 0

∴ f(x) = 0

∴ (x + 6)(x – 3) = 0

∴ x + 6 = 0    or    x - 3 = 0

∴ x = -6   or    x = 3

So, the points of x-intercept are (-6,0) and (3,0)

So, we have given the point (-6,0) one of the options

So, the correct option is (-6,0)