Question

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

Answer 1

Answer: B

Explanation:

Answer 2

`f(x)=-x^(2) +8x-16`

Explanation:

we know that

A polynomial function that has a leading coefficient of -1 and root 4 with multiplicity 2 is equal to

`f(x)=-(x-4)^(2)`

Expand the function

`f(x)=-(x^(2)-8x+16)\\ \\f(x)=-x^(2) +8x-16`