document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1016723>Question 1016723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Divide.<BR>\n" );
document.write( "x^4-121/x^2+11 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633125 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^4 - 121 is equal to (x^2 - 11) * (x^2 + 11)<BR>\n" );
document.write( "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.\r<BR>\n" );
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document.write( "your solution is that the result of the division is equal to x^2 - 11.\r<BR>\n" );
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document.write( "if you didn't see that, then you could have divided using the standard method as shown below in my division worksheet.\r<BR>\n" );
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document.write( "look below the worksheet for further comments.\r<BR>\n" );
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document.write( "in step 1, you're dividing x^2 by x^2 to get x^2.\r<BR>\n" );
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document.write( "in step 2, you're multiplying x^2 + 11 by x^2 to get x^4 + 11x^2\r<BR>\n" );
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document.write( "in step 3, you're subtracting (x^4 + 11x^2) from (x^4 - 121) to get (-11x^2 - 121)\r<BR>\n" );
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document.write( "in step 4, you're dividing -11x^2 by x^2 to get - 11.\r<BR>\n" );
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document.write( "in step 5, you're multiplying (x^2 + 11) by -11 to get -11x^2 - 121.\r<BR>\n" );
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document.write( "in step 6, your subtracting (-11x^2 - 121) from (-11x^2 - 121) to get 0.\r<BR>\n" );
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document.write( "the result is x^2 - 11 with a remainder of 0.\r<BR>\n" );
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document.write( "that's the same as you got by factoring and then eliminating the common factors in the numerator and denominator.\r<BR>\n" );
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document.write( "the worksheet shows the actual operations in step 1 through step 6 followed by explanations of what each of the operations did.\r<BR>\n" );
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document.write( "if you need a tutorial on polynomial division, here's one that might help.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/polydiv.htm\" target = \"_blank\">http://www.purplemath.com/modules/polydiv.htm</a>\r<BR>\n" );
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document.write( "there's 3 pages involved.\r<BR>\n" );
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document.write( "be sure to read them all to get the complete story of what they're trying to tell.\r<BR>\n" );
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document.write( "the factoring was part of the simplification process.\r<BR>\n" );
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document.write( "the process of long division starts on page 2 or 3.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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