Answer:
[tex]x^2-8x=0[/tex]
Step-by-step explanation:
the quadratic function should be as follows:
[tex]x^2-8x=0[/tex]
Now let's confirm that the zeros of the function are 0 and 8
[tex]x^2-8x=0=x(x-8)=0[/tex]
Therefore we can see that if x = 0
[tex]0^2*8*0=0\\0=0[/tex]
the equation is fulfilled
And we also have [tex](x-8)[/tex]
for this expresion to be equal to zero:
[tex]x-8=0\\x=8[/tex]
thus, if x = 8
[tex]8^2-8*8=0\\64-64=0\\0=0[/tex]
the equation is also fulfilled
The zeros of the quadratic function [tex]x^2-8x=0[/tex] are 0 and 8.