document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=669100>Question 669100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the greatest common factor for the list of terms.\r<BR>\n" );
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document.write( "110x5,70x7,60x8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #416179 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=416179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'm thinking 10x^5 is the greatest common factor.\r<BR>\n" );
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document.write( "x^5 is definitely the greatest common factor of x because:<BR>\n" );
document.write( "x^5 * 1 = x^5<BR>\n" );
document.write( "x^5 * x^2 = x^7<BR>\n" );
document.write( "x^5 * x^3 = x^8\r<BR>\n" );
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document.write( "the greatest common factor of 110 and 70 and 60 should be 10 because:<BR>\n" );
document.write( "10 * 11 = 110<BR>\n" );
document.write( "10 * 7 = 70<BR>\n" );
document.write( "10 * 6 = 60\r<BR>\n" );
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document.write( "there is no other common factor of 1 and x^2 and x^3 so they're relatively prime compared to each other.<BR>\n" );
document.write( "there is no other common factor of 11 and 7 and 6 so they're relatively prime compared to each other.\r<BR>\n" );
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document.write( "the common factor appears to be 10x^5\r<BR>\n" );
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document.write( "your terms of 110x^5 + 70x^7 + 60x^8 become\r<BR>\n" );
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document.write( "10x^5 * (11 + 7x^2 + 6x^3)\r<BR>\n" );
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document.write( "note that 10x^5 * 11 is equal to 110x^5<BR>\n" );
document.write( "note that 10x^5 * 7x^2 is equal to 70x^(5+2) which is equal to 70x^7<BR>\n" );
document.write( "note that 10x^5 * 6x^3 is equal to 60x^(5+3) which is equal to 60x^8\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );