document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=2239>Question 2239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve polynomial equations such as:<BR>\n" );
document.write( "(x-3)(x-squaured+3x-4)=0<BR>\n" );
document.write( "(x+2)(x-squared+5x+1)=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #926 by </B><A HREF=/tutors/aboutme.mpl?userid=matthew_sessoms><B>matthew_sessoms(39)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=matthew_sessoms><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=926\">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=%28x-3%29%28x%5E2%2B3x-4%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%5E2%2B3x-4%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Factor out the second equation that's in parentheses...<BR>\n" );
document.write( "(x+4)(x-1)<BR>\n" );
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document.write( "Now we get the 3 factors...<BR>\n" );
document.write( "(x-3)(x+4)(x-1)=0<BR>\n" );
document.write( "Now solve for x in each parentheses, and we get..<BR>\n" );
document.write( "x=3, x=-4, x=1<BR>\n" );
document.write( "<b>{3, -4, 1)</b><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%28x%5E2%2B5x%2B1%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%28x%5E2%2B5x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The second equation cannot be factored and therefore, must be solved using the quadratic formula, which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Plug the values in, like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A1%29%29%2F%282%2A1%29 ALIGN=MIDDLE  ALT=\"x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A1%2A1%29%29%2F%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which simplifies to...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-5%2B-sqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28-5%2B-sqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the answer to the second problem you gave is...<BR>\n" );
document.write( "{-2,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5-sqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-5-sqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5-sqrt%2821%29%29%2F2 ALIGN=MIDDLE  ALT=\"%28-5-sqrt%2821%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >}<BR>\n" );
document.write( "Hope this helps!<BR>\n" );
document.write( "MS </SPAN>\n" );
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