document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=779139>Question 779139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the factored form of 12x^4-20x^3+4x^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #475098 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39623)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=475098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rational Roots Theorem would seem most useful, but first factor the constant factor of 4.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12x%5E4-20x%5E3%2B4x%5E2 ALIGN=MIDDLE  ALT=\"12x%5E4-20x%5E3%2B4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%283x%5E4-5x%5E3%2Bx%5E2%29 ALIGN=MIDDLE  ALT=\"4%283x%5E4-5x%5E3%2Bx%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and also factor the common <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2. ALIGN=MIDDLE  ALT=\"x%5E2.\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284x%5E2%283x%5E2-5x%2B1%29%29 ALIGN=MIDDLE  ALT=\"highlight%284x%5E2%283x%5E2-5x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If the determinant is negative, then you can leave like that, since the quadratic factor may be easiest in the trinomial form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5%29%5E2-4%2A3%2A1=25-12=13 ALIGN=MIDDLE  ALT=\"%28-5%29%5E2-4%2A3%2A1=25-12=13\"   DISABLED_style= \"max-width:90%; height:auto;\" >,   POSITIVE 13.\r<BR>\n" );
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document.write( "Still could be best to leave it like it is, because the roots of the quadratic are irrational, making the factorization of this quadratic a bit messy looking. </SPAN>\n" );
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