Question 1085317
here's my worksheet.


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first i divided 30x^3 by 5x to get 6x^2


then i multiplied (5x + 2) by 6x^2 to get (30x^3 + 12x^2)


then i subtracted (30x^3 + 12x^2) from (30x^3 - 8x^2) to get -20x^2


then i brought down -6x to get (-20x^2 - 6x)


then i divided -20x^2 by 5x to get -4x


then i multiplied (5x + 2) by -4x to get (-20x^2 - 8x)


then i subtracted (-20x^2 - 8x) from (-20x^2 - 6x) to get 2x


then i brought down -3 to get (2x - 3)


then i divided 2x by 5x to get 2/5


then i multiplied (5x + 2) by 2/5 to get (2x + 4/5)


then i subtracted (2x + 4/5) from (2x - 3) to get -19/5


then i stopped because the degree of -19/5 is less than the degree of 5x + 2


-19/5 is the remainder and is written as -(19/5) / (5x + 2)


the dividend is the original expression of 30x^3 - 8x^2 - 6x - 3


the divisor is 5x + 2


the quotient is the result of the division and is 6x^2 - 4x + 2/5 - (19/5) / (5x + 2)


here's a tutorial on how to do long division.


<a href = "http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/long_division/long_division.html" target = "_blank">http://www.mesacc.edu/~scotz47781/mat120/notes/divide_poly/long_division/long_division.html</a>


here's an online long division calculator that gives you the same result.


<a href = "http://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/" target = "_blank">http://www.emathhelp.net/calculators/algebra-1/polynomial-long-division-calculator/</a>


here are the inputs to and outputs from this calculator


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<img src = "http://theo.x10hosting.com/2017/061903.jpg" alt="$$$" </>