question on polynomials

It would be better if you had given me an example but basically you have to find the factors.

 

For instance

find the zeros of  \(x^2+6x+8\)

 

This means, when will    \(x^2+6x+8=0\)

 

It is not so easy to see what all the answers might be but if I factorize it like this

 

\((x+4)(x+2)=0\)

 

Then I can find the answer easily.  

This is because if 2 (or more) things multiply together to give 0 then at least one of them HAS to be 0.

So this will be true if and only if

 

x+4=0      OR     x+2=0

so

x = -4        OR    x = -2

It will be very nice if you give me some feed back.

We get so little feedback especially off guests and it discourages answerers from making the effort sometimes. :(