SOLUTION: true or false the remainder, when dividing x^3 - 3x +4 by (x + 2), is 14?

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Question 914222: true or false
the remainder, when dividing x^3 - 3x +4 by (x + 2), is 14?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to use the remainder theorem. Look where it says "When we divide a polynomial f(x) by x-c the remainder r equals f(c)". You have to scroll down a bit on that page.

Let p%28x%29+=++x%5E3+-+3x+%2B4

Since we're dividing by x%2B2, which is in the form x-k where k+=+-2, we're going to plug in x+=+-2

p%28x%29+=++x%5E3+-+3x+%2B4

p%28-2%29+=++%28-2%29%5E3+-+3%28-2%29+%2B4

p%28-2%29+=++-8+%2B6+%2B4

p%28-2%29+=++-2+%2B4

p%28-2%29+=++2

So the remainder is actually 2.

Therefore, the initial claim is false.

Let me know if you need more help or if you need me to explain a step in more detail.
Feel free to email me at jim_thompson5910@hotmail.com
or you can visit my website here: http://www.freewebs.com/jimthompson5910/home.html

Thanks,

Jim