Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?

The given polynomial function describes the roots of the polynomial function is -2 with multiplicity 2,4 with multiplicity 1, and -1 with multiplicity 3

Step-by-step explanation:

Given polynomial function can be written as

The given polynomial function has roots

Therefore it can be written as

, and

Therefore root -2 has mulitiplicity 2

,

Therefore root 4 has mulitiplicity 1

,

Therefore root -1 has mulitiplicity 3

Now combining all roots we get

The given polynomial function describes the roots of the polynomial function is -2 with multiplicity 2,4 with multiplicity 1, and -1 with multiplicity 3