SOLUTION: Is there any one that knows how to work this problem? Find the zeros of f. f(x)= -x^(2)e^(-x)+ 2xe^(-x)

Is there any one that knows how to work this problem?
Find the zeros of f.

To find the zeros substitute 0 for f(x) and solve for x.





Get 0 on the right:



Factor out 



Now we use the zero product principle.
There are three factors: ,, and 

Setting x = 0 gives one solution, namely x = 0

Setting  = 0 gives no solution, since  is never 0.

Setting x-2 = 0 gives a second solution, namely x = 2

So there are two zeros,  0 and 2.   

Edwin