SOLUTION: Divide: {{{ (15x^3+19x^2+10)/(5x-2) }}}

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Question 258697: Divide: +%2815x%5E3%2B19x%5E2%2B10%29%2F%285x-2%29+
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It's difficult to show polyomial long division but here goes.
First factor: 3x%5E2
3x%5E2%285x-2%29=15x%5E3-6x%5E2
Remainder:15x%5E3%2B19x%5E2%2B10-%2815x%5E3-6x%5E2%29=25x%5E2%2B10
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Second factor: 5x
5x%285x-2%29=25x%5E2-10x
Remainder:25x%5E2%2B10-%2825x%5E2-10x%29=10x%2B10
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Third factor: 2
2%285x-2%29=10x-4
Remainder:10x%2B10-%2810x-4%29=14
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Now add the factors and the remainder all together.
+%2815x%5E3%2B19x%5E2%2B10%29%2F%285x-2%29=3x%5E2%2B5x%2B2%2B14%2F%285x-2%29+