SOLUTION: Use long division to divide the following polynomial (12x^2 + x-4) divided by (3x-2)

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Question 327172: Use long division to divide the following polynomial (12x^2 + x-4) divided by (3x-2)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

First term:4x
4x%283x-2%29=12x%5E2-8x
Subtract from the original polynomial to get a remainder,
%2812x%5E2%2Bx-4%29-%2812x%5E2-8x%29=9x-4
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Second term:3
3%283x-2%29=9x-6
Subtract from the remainder to get the new remainder,
%289x-4%29-%289x-6%29=2
No further division possible.
Gather all of the terms and the remainder.
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%2812x%5E2+%2B+x-4%29%2F%283x-2%29=%284x%2B3%29%2B2%2F%283x-2%29