document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=366111>Question 366111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the greatest common factor\r<BR>\n" );
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document.write( "10x^8-15x^4+20x^12\r<BR>\n" );
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document.write( "i got 5x^4 but i'm not sure\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #262260 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=262260\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x%5E8-15x%5E4%2B20x%5E12+=+5x%5E4%2A%282x%5E4-3+%2B+4x%5E8%29=+5x%5E4%2A%284x%5E8+%2B+2x%5E4-3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.  Now there are two polynomial factors  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%5E4 ALIGN=MIDDLE  ALT=\"5x%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E8+%2B+2x%5E4-3 ALIGN=MIDDLE  ALT=\"4x%5E8+%2B+2x%5E4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E8+%2B+2x%5E4-3 ALIGN=MIDDLE  ALT=\"4x%5E8+%2B+2x%5E4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > cannot be factored into polynomials of lower degree having rational coefficients, and thus, having the higher degree, is the GCF of the given polynomial. </SPAN>\n" );
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