Please help !! And the last on d is piecewise function

Step-by-step explanation:

Which statements are true about the polynomial function?

f(x)=x4+5x3−x2−5x

Select each correct answer.

f(5)=0

f(x)=0

when x=−5

f(x)

divided by (x+5)

has a remainder of 0.

(x−5)

is a factor of f(x) .

When x=-5, f(x) IS 0.

f(x) divided by (x+5) has a remainder of 0. (x+5) is a factor of f(x).

But x-5 is NOT a factor of x