Without knowing the supposition, it is difficult to say where you went wrong.

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- October 2nd 2012, 10:39 AM #1

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## (r-s)(x)

Suppose r(x) = 3+4/x^2+1, s(x)= x^+6/6x-1. Write the expression (r-s)(x) as a simplified ratio with the numerator and denominator each written as a sum of terms of the form cx^m and c>0 for the term with the highest power in the numerator. I ended up with (-x^4+11x^2+21x-10)/-6x^3+x^2-6x+1. Where did I go wrong here?

- October 2nd 2012, 10:41 AM #2

- October 2nd 2012, 11:14 AM #3

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- October 2nd 2012, 12:23 PM #4

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- October 2nd 2012, 02:20 PM #5

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- October 2nd 2012, 02:26 PM #6

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- October 2nd 2012, 02:49 PM #7

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- October 2nd 2012, 02:56 PM #8

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- October 2nd 2012, 03:06 PM #9

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- October 3rd 2012, 08:29 AM #10

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- October 4th 2012, 09:30 PM #11

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- October 4th 2012, 10:26 PM #12

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- October 5th 2012, 08:14 AM #13

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## Re: (r-s)(x)

Do you mean 3+ 4/(x^2+ 1)?

s(x)= x^+6/6x-1.

What should be after the "^"? Do you mean x^?+ 6/(6x- )? Or (x^?+ 6)(6x- 1)?

Write the expression (r-s)(x) as a simplified ratio with the numerator and denominator each written as a sum of terms of the form cx^m and c>0 for the term with the highest power in the numerator. I ended up with (-x^4+11x^2+21x-10)/-6x^3+x^2-6x+1. Where did I go wrong here?

- October 5th 2012, 09:50 AM #14

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## Re: (r-s)(x)

Oh, I already figured it out. Emakarov showed it. My mistake was not flipping the signs by multiplying -1 from numerator and denominator since the problem asked for the leading term to be a positive number and the constant to be more than zero. Read the post above to find the image of the actual equation if you are interested.