document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208433>Question 1208433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the LCM of the given polynomials.\r<BR>\n" );
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document.write( "x^2 - x- 12; x^2 - 8x + 16\r<BR>\n" );
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document.write( "Let me see.\r<BR>\n" );
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document.write( "x^2 - x - 12 = (x - 4)(x + 3)\r<BR>\n" );
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document.write( "x^2 - 8x + 16 = (x - 4)(x - 4) = (x - 4)^2\r<BR>\n" );
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document.write( "LCM = (x - 4)(x + 3)\r<BR>\n" );
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document.write( "You say?\r<BR>\n" );
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document.write( "Question:\r<BR>\n" );
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document.write( "What about if there are 3 given polynomials?\r<BR>\n" );
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document.write( "Sample:\r<BR>\n" );
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document.write( "Given x^2 + 4x + 4; x^3 + 2x^2; (x + 2)^3, find the LCM. <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846850 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=846850\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The LCM must contain each factor the greatest number of times it occurs in each polynomial.<br><BR>\n" );
document.write( "x^2-x-12 = (x-4)(x+3)<BR>\n" );
document.write( "x^2-8x+16 = (x-4)(x-4) = (x-4)^2<br><BR>\n" );
document.write( "The LCM is (x+3)(x-4)^2.<br><BR>\n" );
document.write( "The process extends easily to 3 or more polynomials:<br><BR>\n" );
document.write( "x^2+4x+4 = (x+2)^2<BR>\n" );
document.write( "x^3+2x^2 = x^2(x+2)<BR>\n" );
document.write( "(x+2)^3 = (x+2)^3<br><BR>\n" );
document.write( "The LCM is x^2(x+2)^3.<br><BR>\n" );
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