SOLUTION: What's 7x^4-9x^2+8x+9 divided by x^2+6?

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Question 314075: What's 7x^4-9x^2+8x+9 divided by x^2+6?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
7x%5E2%28x%5E2%2B6%29=7x%5E4%2B42x%5E2
Subtract that from the original polynomial to get a remainder of,
%287x%5E4-9x%5E2%2B8x%2B9%29-%287x%5E4%2B42x%5E2%29=-51x%5E2%2B8x%2B9
-51%28x%5E2%2B6%29=-51x%5E2-306
Subtract that from the remainder,
%28-51x%5E2%2B8x%2B9%29-%28-51x%5E2-306%29=8x%2B315
Since the degree of the remainder is lower than the degree of the divisor, stop the long division.