<PRE><B>Question 66740</B>
You divide the 3x^3 by x and get 3x^2
You multiply (x+5) by 3x^2 and get 3x^2+15x
You subtract that from 3x^3+22x^2+38x+15 to get 7x^2+38x+15
You divide that by x to get 7x
You multiply (x+5) by that to get 7x^2+35x
You subtract that from 7x^2+38x+15 to get 3x+15
You divide that by x to get 3
You multiply (x+5) by that to get 3x+15
You subtract that from 3x+15 and get 0
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So the quotient is 3x^2+7x+3
Cheers,
Stan H. 
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