Answer:
(8,0)
Step-by-step explanation:
the x-intercept is when y=0
or in this case f(x) = 0
so 0=x^2-16x+64
now we factor to find what x equals
we want a pair of numbers that multiply to 64 and add up to -16
this would be -8 and -8
so we can get 0=(x-8) (x-8)

if x-8=0
then x=8
in the format of (x,y)
if we have x=8  and y=0
then our answer would be (8,0)
Immediately, we can try to split the middle term.
x^2 - 16x + 64
The factor of 64 that satisfies the criteria is -8 * -8.
Because our leading coefficient is 1, we immediately know the simplified form of this polynomial is (x - 8)(x - 8)
Even though this is a second degree polynomial, we only have one x-intercept, because it is multiplicity two.
When you have a factor with multiplicity two, or any even number, the line will dip through that x value, and then go back up, like a parabola.
The x-intercept of the graph is 8, with multiplicity two.
