You can put this solution on YOUR website! x^4 - 121 is equal to (x^2 - 11) * (x^2 + 11)
when you divide it by x^2 + 11, the x^2 + 11 in the numerator and the x^2 + 11 in the denominator cancel out and you are left with x^2 - 11.
your solution is that the result of the division is equal to x^2 - 11.
if you didn't see that, then you could have divided using the standard method as shown below in my division worksheet.
look below the worksheet for further comments.
in step 1, you're dividing x^2 by x^2 to get x^2.
in step 2, you're multiplying x^2 + 11 by x^2 to get x^4 + 11x^2
in step 3, you're subtracting (x^4 + 11x^2) from (x^4 - 121) to get (-11x^2 - 121)
in step 4, you're dividing -11x^2 by x^2 to get - 11.
in step 5, you're multiplying (x^2 + 11) by -11 to get -11x^2 - 121.
in step 6, your subtracting (-11x^2 - 121) from (-11x^2 - 121) to get 0.
the result is x^2 - 11 with a remainder of 0.
that's the same as you got by factoring and then eliminating the common factors in the numerator and denominator.
the worksheet shows the actual operations in step 1 through step 6 followed by explanations of what each of the operations did.
if you need a tutorial on polynomial division, here's one that might help.
