Answer:
Answer is 5
Step-by-step 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
Answer:
Number of roots is 5.
Step-by-step explanation:
Since, the roots of a function f(x) is obtained when f(x) = 0,
Given expression,
[tex]f(x) = (x+5)^3(x-9)(x+1)[/tex]
For finding the roots,
f(x) = 0,
[tex](x+5)^3(x-9)(x+1)=0[/tex]
[tex](x+5)(x+5)(x+5)(x-9)(x+1) =0[/tex]
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.
