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# Pre-Cal Long Division

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What is (x^5+17x^6+16x+14)/(x^2+14) using long division?

Guest Aug 21, 2017
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(x^5+17x^6+16x+14)/(x^2+14)  =

17x^4  + x^3  - 238x^2  - 14x +  3332

x^2 + 14  [   17x^6  + x^5  + 0x^4  + 0 x^3  +   0x^2  +  16x + 14) ]

17x^6  +        +238x^4

_________________________________________

x^5  -  238x^4  + 0x^3

x^5                   + 14x^3

____________________

-238x^4  -  14x^3  + 0x^2

-238x^4                -3332x^2

______________________

-14x^3 + 3332x^2  + 16x

-14x^3                   -196x

____________________

3332x^2  + 212x + 14

3332x^2              + 46648

_____________________

212x - 46634

So...the result  is    17x^4  + x^3  - 238x^2  - 14x +  3332   with R  [ 212x - 46634 ] / [ x^2 + 14 ]

CPhill  Aug 21, 2017

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