SOLUTION: divide 2x<2>-3x-15 by x-4 the numbers in the <> are exponents

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Question 31124: divide 2x<2>-3x-15 by x-4
the numbers in the <> are exponents

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
This is a bit hard to show you the long division technique in this awkward interface, but I can show you the synthetic division way easier...
First write out what value of x makes the divisior zero next to the coefficients of the dividend:
4___2___-3___-15
______________
Bring down the 2 and multiply it times the 4...watch...
4___2___-3___-15
________8_____
____2
Now add -3 and 8, multiply by 4 and continue...watch...\
4___2___-3___-15
________8___20__
____2___5
Add again...this is your remainder, 5. The other 2 and 5 are the coefficients of the quotient...
4___2___-3____-15
________8___20__
____2___5____5
So your answer is 2x + 5 + 5/(x-4)