document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=427006>Question 427006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the polynomial P(x)=2x^3-x^2-13x-6 and one of its factors:x+2. <BR>\n" );
document.write( "How many zeros will there be. How would you know that?<BR>\n" );
document.write( "Find the remaining factors of the polynomial.<BR>\n" );
document.write( "please explain how you found the others. \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296984 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296984\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are three zeros, since it's a third degree polynomial (fundamental theorem of algebra).\r<BR>\n" );
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document.write( "Divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+%282x%5E3+-+x%5E2+-+13x+-+6%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+%282x%5E3+-+x%5E2+-+13x+-+6%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > using either long or synthetic division. You should obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+-+5x+-+3 ALIGN=MIDDLE  ALT=\"2x%5E2+-+5x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We find the other zeros of the function using the quadratic equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%285+%2B-+sqrt%2825+%2B+24%29%29%2F4+=+%285+%2B-+7%29%2F4 ALIGN=MIDDLE  ALT=\"x+=+%285+%2B-+sqrt%2825+%2B+24%29%29%2F4+=+%285+%2B-+7%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 or -1/2. Hence, this polynomial factors to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B1%2F2%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and P(x) is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x%2B1%2F2%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x%2B1%2F2%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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