SOLUTION: solve by long division method {{{(a^2 - 21a + 108) / (a-12)}}}

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Question 654977: solve by long division method
%28a%5E2+-+21a+%2B+108%29+%2F+%28a-12%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: I'm going to use the variable 'x' in the place of 'a'. So I'll be working on %28x%5E2+-+21x+%2B+108%29+%2F+%28x-12%29

Perform polynomial long division to get



So %28x%5E2+-+21x+%2B+108%29+%2F+%28x-12%29+=+x-9

which means %28a%5E2+-+21a+%2B+108%29+%2F+%28a-12%29+=+a-9