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 May 19th, 2015, 11:51 AM #1 Newbie   Joined: Dec 2013 Posts: 28 Thanks: 0 Can you solve this using algebraic long division? I think I only understand algebraic long division if there's only 1 variable involved. How about this example with 2 variables? I've tried it arranging both dividend and divisor in descending powers of x.The result I get is Is this correct? May 19th, 2015, 12:09 PM #2 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 No, it's not- though its close. You can divide one more time. Write the integrand as - y- 5 divides into that times. Multiplying by that gives and subtracting that from leaves . divides into that -6y times. times -6y is and subtracting that from leaves 36y^3. will not divide into that so the quotient is with "remainder ". . May 20th, 2015, 02:25 AM #3 Senior Member   Joined: May 2015 From: Varanasi Posts: 110 Thanks: 5 Math Focus: Calculus Multiply the exponent of x by 3 giving The answer is x^3 x^3 evaluates to x^3 Multiply x^3 and 6 Multiply x^3 and 1 The x^3 just gets copied along. The answer is x^3 6*x^3 evaluates to 6x^3 Multiply y and x^3 Multiply the y and x^3 Multiply y and x^3 The y just gets copied along. The x^3 just gets copied along. The answer is yx^3 6*x^3*y evaluates to 6yx^3 6*x^3*y-y evaluates to 6yx^3-y The answer is 6yx^3-y-5 6*x^3*y-y-5 evaluates to Multiply the exponent of x by 2giving The answer is x^2 x^2 evaluates to x^2 Multiply y and 6 Multiply y and 1 The y just gets copied along. The answer is y y 6*y evaluates to 6y x^2+6*y evaluates to x^2+6y Sorry, at this time the divisor may be a monomial AT MOST (e.g. contain only 1 term). The answer below IS NOT correct. (6*x^3*y-y-5)/(x^2+6*y) evaluates to 6yx^3-y-5 The final answer is 6yx^3-y-5 Tags algebraic, division, long, solve Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post chrisgritz Elementary Math 2 October 29th, 2014 01:42 PM grangeeducation Elementary Math 0 May 3rd, 2014 08:08 AM vickysan007rv Algebra 3 February 19th, 2013 02:30 AM MathematicallyObtuse Algebra 4 November 2nd, 2010 06:27 PM johnny Algebra 3 November 6th, 2007 04:35 PM

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