document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47148>Question 47148</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078608619/algebrahomeworkh>advanced mathematical concepts precalculus with applications </A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> determine how many times -1 is a root of x^3+2x^2-x-2=0 then find the other roots<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 #31222 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=31222\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x = -1 is a root of<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B2x%5E2-x-2+=+0 ALIGN=MIDDLE  ALT=\"x%5E3%2B2x%5E2-x-2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then x+1 is a factor of this polynomial.<BR>\n" );
document.write( "You can find the other factors and, hence, the other roots, by dividing the given polynomial by the factor (x+1)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B2x%5E2-x-2%29%2F%28x%2B1%29+=+x%5E2%2Bx-2 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B2x%5E2-x-2%29%2F%28x%2B1%29+=+x%5E2%2Bx-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now factor the right side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx-2+=+%28x%2B2%29%28x-1%29 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx-2+=+%28x%2B2%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3%2B2x%5E2-x-2+=+%28x%2B1%29%28x%2B2%29%28x-1%29 ALIGN=MIDDLE  ALT=\"x%5E3%2B2x%5E2-x-2+=+%28x%2B1%29%28x%2B2%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%2B2%29%28x-1%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%2B2%29%28x-1%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Applying the zero products principle, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1+=+0 ALIGN=MIDDLE  ALT=\"x%2B1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1 ALIGN=MIDDLE  ALT=\"x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+=+0 ALIGN=MIDDLE  ALT=\"x%2B2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2 ALIGN=MIDDLE  ALT=\"x+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+0 ALIGN=MIDDLE  ALT=\"x-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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