Which statements are true about the polynomial function? f(x)=x^4+5x^3−x^2−5x 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) .

ANSWER

The second and third options are correct

EXPLANATION

We were given,

So we find by plugging in .

Hence

The first option is out.

Now we find by plugging in .

Hence when  . This is one of the correct options.

Since ,  , is a solution, this means that

is a factor of the polynomial by the factor theorem

Sice ,    is not a solution, this means that

is a not  factor of the polynomial by the factor theorem

i do not know the answer

step-by-step explanation: