document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=526662>Question 526662</A>: <I><SPAN STYLE=\"word-break: break-all;\"> please help me urgently....<BR>\n" );
document.write( "1)Find m and n if (x-2) and (x+3) are both factors of x^3+mx^2-nx-6 <BR>\n" );
document.write( "2) When p(x)=x^4-3x^3+ax^2+bx-6 is divided by (x+1)it has a remainder of 8. If (x-3) is a factor of p(x) find a and b.<BR>\n" );
document.write( "3) If x^2-4 is a factor of 2x^3-ax^2+bx+4 find a and b. \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 #348647 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=348647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you divide a polynomial P(x) by a divisor polynomial D(x) you get a quotient polynomial Q(x) and a remainder polynomial R(x). With some luck, all of those polynomial will be very small and simple, and maybe the remainder will be 0, or just a number (a polynomial of degree zero).\r<BR>\n" );
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document.write( "1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=x%5E3%2Bmx%5E2-nx-6=%28x-2%29Q%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=x%5E3%2Bmx%5E2-nx-6=%28x-2%29Q%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (remainder is zero) means that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=2%5E3%2Bm%282%5E2%29-2n-6=%282-2%29Q%282%29=0 ALIGN=MIDDLE  ALT=\"P%282%29=2%5E3%2Bm%282%5E2%29-2n-6=%282-2%29Q%282%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B4m-2n-6=0 ALIGN=MIDDLE  ALT=\"8%2B4m-2n-6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4m-2n=-2 ALIGN=MIDDLE  ALT=\"4m-2n=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Similarly<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-3%29=0 ALIGN=MIDDLE  ALT=\"P%28-3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > leads you to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9m%2B3n=33 ALIGN=MIDDLE  ALT=\"9m%2B3n=33\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Those two equations form a linear system that allows you to find m and n.\r<BR>\n" );
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document.write( "2) Same idea<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28x-3%29Q%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=%28x-3%29Q%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (remainder is zero) so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=0 ALIGN=MIDDLE  ALT=\"P%283%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28x%2B1%29Q%28x%29%2B8 ALIGN=MIDDLE  ALT=\"P%28x%29=%28x%2B1%29Q%28x%29%2B8\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (remainder is 8) so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-1%29=8 ALIGN=MIDDLE  ALT=\"P%28-1%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You'll get two equations that would allow you to find a and b.\r<BR>\n" );
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document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28x%5E2-4%29Q%28x%29=%28x-2%29%28x%2B2%29Q%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29=%28x%5E2-4%29Q%28x%29=%28x-2%29%28x%2B2%29Q%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (remainder is zero)<BR>\n" );
document.write( "I would bet on<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Q%28x%29=2x-1 ALIGN=MIDDLE  ALT=\"Q%28x%29=2x-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=%28x%5E2-4%29%282x-1%29 ALIGN=MIDDLE  ALT=\"P%28x%29=%28x%5E2-4%29%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying will tell you if that product is a polynomial that could be the one you were given. (Easy way to solve it).<BR>\n" );
document.write( "You are probably expected to use<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=0 ALIGN=MIDDLE  ALT=\"P%282%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28-2%29=0 ALIGN=MIDDLE  ALT=\"P%28-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to set up a system of equations to solve for a and b, but who really enjoys solving systems of equations? </SPAN>\n" );
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