Question

Determine the total number of roots of each polynomial function using the factored form. f (x) = (x + 5)3(x - 9)(x + 1)

Answer 1

Number of roots is 5.

Explanation:

Since, the roots of a function f(x) is obtained when f(x) = 0,

Given expression,

`f(x) = (x+5)^3(x-9)(x+1)`

For finding the roots,

f(x) = 0,

`(x+5)^3(x-9)(x+1)=0`

`(x+5)(x+5)(x+5)(x-9)(x+1) =0`

By the ZERO PRODUCT property,

x + 5 = 0 or x + 5 = 0 or x + 5 = 0 or x - 9 = 0 or x + 1 =0,

⇒ x = -5, -5, -5, 9 or -1

Hence, the number of roots = 5.

Answer 2

Answer is 5

Explanation:

Okay hun so let me tell u what's up here

They give us this equation and ask for the 'roots'

(x+5)^3(x-9)(x+1)

Now lemme tell you the roots of this one

-5, 9, -1

you get this from making each of them 0

The answer to this would be "3" because there are 3 roots, buT wait theRe'S mOre

(x+5) goes 3 times

So thy must recount it

-5, -5, -5, 9, -1 <-- These are the roots

that's 5 roots in total

....also I did this on edgen, got it right with 5