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Long division

# Long division - 2 4 8 5 3 4 1 2 2 2 3 2 3 2-x x x x x x x x...

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Long division Divide the following 4x 3 + 3x 2 – 5x + 8 by 2x 2 – 1 8 5 3 4 1 2 2 3 2 + - + - x x x x Step 1: Divide 2 3 2 4 x x which is 2x So we have x x x x x 2 8 5 3 4 1 2 2 3 2 + - + - Now we multiply 2x(2x 2 – 1) which is 2x(2x 2 ) – 2x(1) = 4x 3 – 2x So we have x x x x x x x 2 2 ____ 4 8 5 3 4 1 2 3 2 3 2 - + - + - Now subtract x x x x x x x x x 2 8 3 3 0 2 ____ 4 8 5 3 4 1 2 2 3 2 3 2 + - + + - + - + - Now we start the process all over again. Divide 2 2 2 3 x x which is 3/2 so we have

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2 3 2 8 3 3 0 2 ____ 4 8 5 3 4 1 2 2 3 2 3 2 + + - + + - + - + - x x x x x x x x x Now multiply ) 1 2 ( 2 3 2 - x which is 2 3 3 ) 1 ( 2 3 ) 2 ( 2 3 2 2 - = - x x So we have 2 3 2 2 3 ____ 3 __ 8 3 3 0 2 ____ 4 8 5 3 4 1 2 2 2 3 2 3 2 + - + - + + - + - + - x x x x x x x x x x Now subtract 2 3 2 2 19 3 ______
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Unformatted text preview: 2 ____ 4 8 5 3 4 1 2 2 2 3 2 3 2 + +-+-+-+ +-+-+-x x x x x x x x x x x I arrived at 19/2 by making 8 = 16/2 and adding that with 3/2. At this point, since 3x/2x 2 can’t simplify further, we are at the remainder part of the problem. So our answer is 1 2 2 19 3 2 3 2 ) 2 19 3 ( 2 3 2 2-+-+ + +-+ x x x or x R x Does this help?...
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Long division - 2 4 8 5 3 4 1 2 2 2 3 2 3 2-x x x x x x x x...

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