Answer:
x=2 x=8
Step-by-step explanation:
h(x)=-x^2+10x-16
Set this equal to 0
0=-x^2+10x-16
Divide by -1
0/-1=x^2-10x+16
0=x^2-10x+16
Factor
What two numbers multiply to 16 and add to -10
-2*-8 = 16
-2+-8 = -10
0=(x-2) (x-8)
Using the zero product property
x-2=0 x-8=0
x=2 x=8
These are the x intercepts
