SOLUTION: x^8 - 256/ x-2
answer:x^7 + 2x^6 + 4x^5 + 8x^4 + 16x^3 + 32x^2 + 64x + 128
need break down of how my book got this answer in long division format
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: x^8 - 256/ x-2
answer:x^7 + 2x^6 + 4x^5 + 8x^4 + 16x^3 + 32x^2 + 64x + 128
need break down of how my book got this answer in long division format
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need break down of how my book got this answer in long division format Found 2 solutions by josmiceli, Fombitz:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! The best thing to do is Google (or other search)
Algebra long division
There are excellent tutorials on line
You can put this solution on YOUR website! Showing synthetic division is a little difficult.
The first part will show the factor (left hand column), then the factor times the divisor,
then the next line will show the subtraction.
Repeat.
Hopefully it makes sense.
The ,, etc. terms are there as placeholders.
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(x-2)|x^8+0x^7+0x^6+0x^5+0x^4+0x^3+0x^2+0x-256
x^7:...x^8-2x^7
---------------------------------------------------------------
..................2x^7+0x^6+0x^5+0x^4+0x^3+0x^2+0x-256
2x^6:.......2x^7-4x^6
---------------------------------------------------------------
.............................4x^6+0x^5+0x^4+0x^3+0x^2+0x-256
4x^5:..................4x^6-8x^5
---------------------------------------------------------------
.......................................8x^5+0x^4+0x^3+0x^2+0x-256
8x^4:.............................8x^5-16x^4
---------------------------------------------------------------
...................................................16x^4+0x^3+0x^2+0x-256
16x^3:.......................................16x^4-32x^3
---------------------------------------------------------------
...............................................................32x^3+0x^2+0x-256
32x^2:..................................................32x^3-64x^2
---------------------------------------------------------------
............................................................................64x^2+0x-256
64x:....................................................................64x^2-128x
---------------------------------------------------------------
..........................................................................................128x-256
128:..................................................................................128x-256
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..........................................................................................................0
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Gather all of the divisors in the left hand column.
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