document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966865>Question 966865</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the real zeros of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B6x%5E2-13x-42 ALIGN=MIDDLE  ALT=\"x%5E3%2B6x%5E2-13x-42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I know you have to find the common factors but im not sure what to do after?<BR>\n" );
document.write( "please show your steps on how you solved this 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 #590923 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590923\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "<B>Answer</B>. The roots of this polynomial are 3, -7 and -2.\r<BR>\n" );
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document.write( "<B>Solution</B>\r<BR>\n" );
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document.write( "Look for the roots of the polynomial &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+6x%5E2+-13x+-+42 ALIGN=MIDDLE  ALT=\"x%5E3+%2B+6x%5E2+-13x+-+42\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; among the divisors of the constant term &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42 ALIGN=MIDDLE  ALT=\"42\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The divisors are . . . , +/-2, +/-3, +/- 6, +/-7, . . . \r<BR>\n" );
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document.write( "I was lucky and quickly found that &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >&nbsp; is the root. \r<BR>\n" );
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document.write( "(To be honest, &nbsp;I used an Excel spreadsheet for it :) ).\r<BR>\n" );
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document.write( "Knowing it, &nbsp;you can divide your original polynomial by the binomial &nbsp;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3 ALIGN=MIDDLE  ALT=\"x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "Do you know how to divide a polynomial by a binomial?\r<BR>\n" );
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document.write( "Use the same scheme as you use for dividing integer numbers &nbsp;(long division). \r<BR>\n" );
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document.write( "After completing this, &nbsp;you will get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+%2B+6x%5E2+-13x+-+42 ALIGN=MIDDLE  ALT=\"x%5E3+%2B+6x%5E2+-13x+-+42\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29 ALIGN=MIDDLE  ALT=\"%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2+%2B+9x+%2B+14%29 ALIGN=MIDDLE  ALT=\"%28x%5E2+%2B+9x+%2B+14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Then you can find the roots of the quadratic polynomial using the quadratic formula. &nbsp;In this way I found that the roots are -7 and -2. \r<BR>\n" );
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document.write( "It gives the answer. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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