Which second degree polynomial function has a leading coefficient of -1 and root 4 with multiplicity 2?
O f(x) = -x2 - 8x – 16
O f(x) = -x2 + 8x – 16
o f(x) = -x2 – 8x + 16
Of(x) = _x2 + 8x + 16

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]

Answer: B

f(x) = -x2 + 8x -16

Step-by-step explanation: