Is the answer 96 or 12?!

Question

vera_ewing · Answer

What is the remainder when (2x3 + 4x2 - 32x + 18) ÷ (x + 3)?

vera_ewing · Answer

By the remainder theorem, when a polynomial f(x) is divided by (x - a), the remainder is f(a). 

Here we are dividing by (x - 3), so plug x = 3 into the numerator: 
r = f(3) 
r = 2(3)³ + 4(3)² - 32(3) + 18 
r = 12

vera_ewing · Answer

But @amistre64 says the answer is 96?!

anonymous · Answer

just go with the answer you got first, then try his if yours is wrong or vise versa

vera_ewing · Answer

I need to know the right answer. Is it 12 or 96?

anonymous · Answer

i done the same thing you did and got the same answer,so go with 12

vera_ewing · Answer

Yeah but why would @amistre64 and @robtobey both say it's 96? Doesn't make sense to me

anonymous · Answer

idk, cuz i got 12

phi · Answer

this is a bit tricky, 
notice the theorem says if it
is divided by (x - a), the remainder is f(a). 
you have  (x+3)  which you should write it as
(x - (-3) )

in other words,  a is -3

vera_ewing · Answer

Ok so what did you get for the remainder? And am I right?

phi · Answer

you have to redo your calculation with -3  (you used +3, which gives 12)

anonymous · Answer

that makes more sense

vera_ewing · Answer

Ohhhh ok so it IS 96! right? @phi

anonymous · Answer

yea it is, i just re done it with -3

anonymous · Answer

sorry for the confusion @vera_ewing