SOLUTION: Which is the correct form of q(x)+r(x)/b(x) for the expression 7x4+x+14/x+2?

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Question 936961: Which is the correct form of q(x)+r(x)/b(x) for the expression 7x4+x+14/x+2?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%287x%5E4%2Bx%2B14%29%2F%28x%2B2%29
divide:
--------------|7x%5E3-14x%5E2%2B28x-55 -> q%28x%29
---------------------------------------
%28x%2B2%29|7x%5E4%2B0%2Ax%5E3%2B0%2Ax%5E2%2Bx%2B14
--------------|7x%5E4%2B0%2Ax%5E3
------------------|-14x%5E3%2B0%2Ax%5E2
------------------|-14x%5E3-28x%5E2
------------------------|28x%5E2%2Bx
------------------------|28x%5E2%2B56x
-----------------------------|-55x%2B14
-----------------------------|-55x%2B110
-----------------------------------|124 -> reminder r%28x%29
since b%28x%29=x%2B2, the correct form of q%28x%29%2Br%28x%29%2Fb%28x%29 is:
%287x%5E3-14x%5E2%2B28x-55%29%2B124%2F%28x%2B2%29