You are almost correct on the restrictions. At z=-2,3, both fractions are 0/0. However,
z^2+z-12 = (z+4)(z-3), so you know right off that z ≠ -4,3, so the restrictions are
z ≠ -4,-2,3 because at all 3 of those values the original fractions are not defined.
Knowing that, you have
(z-2)(z+2)/(z-3) * (z+4)(z-3)/(z+2) = (z-2)(z+4)
so your final polynomial is correct.
what is the quotient in simpliest form state the restrictions on the variable
z^2-4/z-3 divided z+2/z^2+z-12
i got z^2+2x-8 but am not sure of the restrictions maybe 3,-2
17 answers
thanks Steve!
I just came from a bunch of generational Steve’s from another question….and one of the died…🥲
Dang, who? Are you talking about Steve or Steve?
If I got to this next question and see some more Steve’s I’m gonna go crazy.
Dang I think I just cremated that Steve 😥
oh no Steves dead
steves dead??....oops
your contributions won't be forgotten steve o7
who killed my grandbaby?
what the hell happened here
Yea wtf happened here?
what lol*
Im still mourning Steve
Sorry to hear that you lost a Steve. The loss of a Steve requires a steve funeral. Visit the Steve Funeral Homes website and pop-up shop to get more information on burying a Steve.
hey guys, why am I in a coffin? I just took a nap! I'm not dead! Both of my wives are probably worried sick! somebody let me out!
Dangit I thought you were dead! Coming to finish the job rn.
12 answers