document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=19916>Question 19916</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor this equation \r<BR>\n" );
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document.write( "2c^3-5c^2+c+2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #9625 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=9625\">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=2c%5E3-5c%5E2%2Bc%2B2 ALIGN=MIDDLE  ALT=\"2c%5E3-5c%5E2%2Bc%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By trial and error, put values into the equation. This will lead us to find one of the factors... start with easy numbers like +1, -1 then +2 and -2 etc until you find one.\r<BR>\n" );
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document.write( "so, if c=1, we get that the polynomial is equal to zero, so c=1 is a solution (or root). If c=1, then (c-1)=0. Therefore, we can say that (c-1) is a factor.\r<BR>\n" );
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document.write( "You now need to perform long division of this factor into the polynomial to find the other factor. Doing this, gives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c%5E2-3c-2 ALIGN=MIDDLE  ALT=\"2c%5E2-3c-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, the factors are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c-1%29%282c%5E2-3c-2%29 ALIGN=MIDDLE  ALT=\"%28c-1%29%282c%5E2-3c-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Factoring the quadratic gives the final answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c-1%29%282c%2B1%29%28c-2%29 ALIGN=MIDDLE  ALT=\"%28c-1%29%282c%2B1%29%28c-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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