document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698684>Question 698684</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor out the common factor of: 16x^5-12x^4+20x^3+12x^2<BR>\n" );
document.write( "When I think I have it partly figured out I get confused.<BR>\n" );
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 #430953 by </B><A HREF=/tutors/aboutme.mpl?userid=Positive_EV><B>Positive_EV(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Positive_EV><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=Positive_EV><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=430953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, break apart each term into its prime factors:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x%5E5+=+2%2A2%2A2%2A2%2Ax%2Ax%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"16x%5E5+=+2%2A2%2A2%2A2%2Ax%2Ax%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E4+=+2%2A2%2A3%2Ax%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"12x%5E4+=+2%2A2%2A3%2Ax%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%5E3+=+2%2A2%2A5%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"20x%5E3+=+2%2A2%2A5%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E2+=+2%2A2%2A3%2Ax%2Ax ALIGN=MIDDLE  ALT=\"12x%5E2+=+2%2A2%2A3%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br>\r<BR>\n" );
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document.write( "In order to factor, a number or variable must appear in every one of the individual terms' prime factorizations. The numbers shared by every term in the polynomial is<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A2%2Ax%2Ax+=+4%2Ax%5E2 ALIGN=MIDDLE  ALT=\"2%2A2%2Ax%2Ax+=+4%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is the term that can be factored out of the expression. The expression can be factored as:<br>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ax%5E2%29%2A%28%2816%2Ax%5E5-12%2Ax%5E4%2B20%2Ax%5E3%2B12%2Ax%5E2%29%2F%284%2Ax%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >, which equals<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%2Ax%5E2%29%2A%284%2Ax%5E3-3%2Ax%5E2%2B5%2Ax%2B3%29 ALIGN=MIDDLE  ALT=\"%284%2Ax%5E2%29%2A%284%2Ax%5E3-3%2Ax%5E2%2B5%2Ax%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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