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long division 2

# long division 2 - which is-5 So we have 5 10 5 2 10 7 2 2 2...

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(X 4 – 7x 2 + 10) / (x 2 – 2) We divide this by first filling in the missing parts. 10 7 2 2 4 2 + - - x x x The first step is to divide x 4 /x 2 which is x 2 2 2 4 2 10 7 2 x x x x + - - Now multiply x 2 (x 2 – 2) This is x 2 (x 2 ) – x 2 (2) which is X 4 – 2x 2 So we have 2 2 4 2 4 2 2 10 7 2 x x x x x x - + - - We now subtract those two. X 4 – 7x 2 - (x 4 – 2x 2 ) This bottom row is –x 4 + 2x 2 because of the two negatives. So we have -5x 2 left (came from -7x 2 + 2x 2 ) 2 2 2 4 2 4 2 10 5 _____ 2 10 7 2 x x x x x x x + - + - + - - Note we brought the +10 down. Now we divide -5x 2 /x 2

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Unformatted text preview: which is -5 So we have 5 10 5 _____ 2 10 7 2 2 2 2 4 2 4 2-+-+-+--x x x x x x x Now multiply -5(x 2 – 2) which is -5(x 2 ) – -5(2) which simplifies to -5x 2 + 10 5 10 5 _____ 10 5 _____ 2 10 7 2 2 2 2 2 4 2 4 2-+-+-+-+--x x x x x x x x When we subtract -5x 2 + 10 -(-5x 2 + 10) Which cancels to 0 (this is our remainder) So our answer is x 2 – 5 Hope this helps....
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long division 2 - which is-5 So we have 5 10 5 2 10 7 2 2 2...

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