document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935077>Question 935077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of p and q if:\r<BR>\n" );
document.write( "\n" );
document.write( "(x-3) and (x+1) are factors of x^3+px+q\r<BR>\n" );
document.write( "\n" );
document.write( "Where (x-3) I identified the answer as 3p+27+q (Equation 1)\r<BR>\n" );
document.write( "\n" );
document.write( "Where (x+1) I identified the answer as -p-1+q (Equation 2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I thought that I would need to use synthetic division for both factors; then when I had the answer from each I'd use simultaneous equation to solve for one term, substitute it into the equation, then simplify for the second term.\r<BR>\n" );
document.write( "\n" );
document.write( "So for p; I thought 4p=28; p=6\r<BR>\n" );
document.write( "\n" );
document.write( "and for q; I got utterly lost tbh.\r<BR>\n" );
document.write( "\n" );
document.write( "If I substitute the value for p where p=6 into Equation 1; I got q=45\r<BR>\n" );
document.write( "\n" );
document.write( "But if I substitute the value for p where p=6 into Equation 2; I got -7.\r<BR>\n" );
document.write( "\n" );
document.write( "The book says p=-6 and q=-7\r<BR>\n" );
document.write( "\n" );
document.write( "So now I am bewildered where Ive gone wrong\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568201 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=568201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "you did this:<BR>\n" );
document.write( "<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;\" >  identified the answer as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B27%2Bq ALIGN=MIDDLE  ALT=\"3p%2B27%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... (Equation 1)<BR>\n" );
document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29 ALIGN=MIDDLE  ALT=\"%28x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  identified the answer as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p-1%2Bq ALIGN=MIDDLE  ALT=\"-p-1%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....(Equation 2) \r<BR>\n" );
document.write( "\n" );
document.write( "just solve this system\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B27%2Bq ALIGN=MIDDLE  ALT=\"3p%2B27%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" >.... (Equation 1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p-1%2Bq ALIGN=MIDDLE  ALT=\"-p-1%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....(Equation 2) <BR>\n" );
document.write( "__________________________subtract eq.2 from eq.1\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B27%2Bq+-%28-p-1%2Bq+%29=0+ ALIGN=MIDDLE  ALT=\"3p%2B27%2Bq+-%28-p-1%2Bq+%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B27%2Bcross%28q%29+%2Bp%2B1-cross%28q%29+=0 ALIGN=MIDDLE  ALT=\"3p%2B27%2Bcross%28q%29+%2Bp%2B1-cross%28q%29+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3p%2B27+%2Bp%2B1+=0 ALIGN=MIDDLE  ALT=\"3p%2B27+%2Bp%2B1+=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%2B28+=0+ ALIGN=MIDDLE  ALT=\"4p%2B28+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p+=-28 ALIGN=MIDDLE  ALT=\"4p+=-28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28p+=-7%29 ALIGN=MIDDLE  ALT=\"highlight%28p+=-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "go to eq.2 plug in value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-p-1%2Bq ALIGN=MIDDLE  ALT=\"-p-1%2Bq\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....(Equation 2)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28-7%29-1%2Bq+=0+ ALIGN=MIDDLE  ALT=\"-%28-7%29-1%2Bq+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-1%2Bq+=0+ ALIGN=MIDDLE  ALT=\"7-1%2Bq+=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Bq+=0++ ALIGN=MIDDLE  ALT=\"6%2Bq+=0++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28q=-6%29 ALIGN=MIDDLE  ALT=\"highlight%28q=-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );