Question

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

Answer 1

Its A

Explanation:

Answer 2

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

Explanation:

Given polynomial function can be written as

`f(x)=(x+2)^2(x+4)(x+1)^3`

The given polynomial function has roots
`(x+2)^2,(x+4),(x+1)^3`

Therefore it can be written as

`(x+2)^2=0` ,
`(x+4)=0` and
`(x+1)^3=0`

`(x+2)^2=0`

Therefore root -2 has mulitiplicity 2

`(x+4)=0`,

Therefore root 4 has mulitiplicity 1

`(x+1)^3=0`,

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