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Hello there!
I have been stuck on this question for a bit, would anyone mind showing the working and answering the question for me?

Find the quotient and the remainder when this polynomial is divided by... 
x4 + 4x3 + 7x2 + 12x + 4                                                                          (x2 + 3)

 

Note: The way to do it is long division, but I want to avoid doing it that way. Is there an alternate method to do so? If the only way to do it is long division, then... uh...

I just do not like using that method.
Thanks in return!

Claudus  Sep 21, 2017

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