Respuesta :
Answer:
[tex]f(x)=-x^{2} +8x-16[/tex]
Step-by-step explanation:
we know that
A polynomial function that has a leading coefficient of -1 and root 4 with multiplicity 2 is equal to
[tex]f(x)=-(x-4)^{2}[/tex]
Expand the function
[tex]f(x)=-(x^{2}-8x+16)\\ \\f(x)=-x^{2} +8x-16[/tex]