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

Nov 18, 2016

$\text{ " x=-9" " Or " } x = 9$

#### Explanation:

$f \left(x\right) = 0$
$\text{ }$
$2 {\left(x + 9\right)}^{2} {\left(x - 9\right)}^{3} = 0$
$\text{ }$
${\left(x + 9\right)}^{2} = 0 \text{ "rArr x+9=0" } \Rightarrow x = - 9$
$\text{ }$
Or
$\text{ }$
${\left(x - 9\right)}^{3} = 0 \text{ "rArrx-9=0" } \Rightarrow x = 9$
$\text{ }$
$\text{ }$
Hence,$\text{ " x=-9" " Or " } x = 9$