SOLUTION: Can someone please help me with this division problem? I am totally lost. (3-x+8x^3-10x^2)/(1+2x)

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Question 106711This question is from textbook
: Can someone please help me with this division problem? I am totally lost.
(3-x+8x^3-10x^2)/(1+2x)
This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
(3-x+8x^3-10x^2)/(1+2x)
:
Arrange these expression into the general descending form:
(8x^3 - 10x^2 - x + 3)/(2x + 1)
:
Use grade school long division (I'm using .........to keep things lined up):
Choose a quotient term that will equal the 1st term, when multiplied by the divisor
:
............................4x^2 - 7x + 3
.............----------------------
(2x+1) |8x^3 - 10x^2 - x + 3
...............8x^3 + 4x^2
.............--------------
............................14x^2 - x
............................14x^2 -7x
............................----------
.........................................6x + 3
.........................................6x + 3
.........................................------
.................................................0
:
You can check our solution by ordinary multiplication:
4x^2 - 7x + 3
Times 2x + 1
----------------
:
:
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