Question

How do you find all zeros of the function `f(x)=2(x+9)^2 (x-9)^3`?

Answer 1

`" " x=-9" " Or " " x=9`

Explanation:

`f(x) = 0`
`" "`
`2(x+9)^2(x-9)^3=0`
`" "`
`(x+9)^2=0" "rArr x+9=0" "rArr x=-9`
`" "`
Or
`" "`
`(x-9)^3=0" "rArrx-9=0" "rArrx=9`
`" "`
`" "`
Hence,`" " x=-9" " Or " " x=9`