I need to solve this by using the remainder theorem thing. I don't know the remainder theorem. I tried looking it up but I didn't understand. Are there two different ways to solve using the remainder theorem? Please show work. Sorry. Thank you.
+36916 Here is one way (do not know if this is remainder theorem though)
+118608 Thanks EP
EP has done it the long way but that is not the remainder theorem.
The remainder theorem might be difficult to understand but it is very simple to use.
The remainder theorem says that if f(x) is divided by (x-k) then the ramainder will be f(k)
in this case k=-4
so the remainder will be
f(-4)
f(-4)=-64+128+6 = 70
The remainder is just the 70 not 70/(x+4)
Simple view
the zero of (x+4) is -4 therefore g(-4) will give the remainder when g(x) is divided by (x+4)
+36916 Ooops sorry...... The remainder is of course just 70. If you divide out the entire thing you would have a term of 70/(x+4) i.e.
(x+4) * { x^2 +4x-16 + 70/(x+4) } = x^3 + 8x^2 +6 sorry I took it toooo far !
I'm not OP but I do have a similar question to this that I'm stuck on. Do I solve a question like this using what EP used or do I do it like Melody or do I have to do both to find the answer?
