document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598942>Question 598942</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use polynomial long division to divide <BR>\n" );
document.write( "-5x^2 – 3x – 2}}} by -5x^2 – 3x – 2<BR>\n" );
document.write( "show all work please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378742 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=378742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We start by dividing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E3%2F%28-5x%5E2%29=-5x ALIGN=MIDDLE  ALT=\"25x%5E3%2F%28-5x%5E2%29=-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the first term of the quotient:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C100%2C-2.5%2C3.5%2C-1.5%2C1.5%2C%0D%0Aline%28-0.1%2C0.1%2C4%2C0.1%29%2C+line%28-0.1%2C0.1%2C-0.1%2C-0.8%29%2C%0D%0Alocate%280%2C0.75%2C-5x%29%2Clocate%28-2.5%2C0%2C-5x%5E2-3x-2%29%2C%0D%0Alocate%280%2C0%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C0%2C40x%5E2%29%2C%0D%0Alocate%281.8%2C-0.25%2C%22%2B%22%29%2Clocate%282%2C-0.25%2C25x%29%2C%0D%0Alocate%282.8%2C-0.25%2C%22%2B%22%29%2Clocate%283%2C-0.25%2C10%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, we multiply that first term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x ALIGN=MIDDLE  ALT=\"-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > times divisor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E2-3x-2 ALIGN=MIDDLE  ALT=\"-5x%5E2-3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract the product<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%28-5x%5E2-3x-2%29=25x%5E3%2B15x%5E2%2B10x ALIGN=MIDDLE  ALT=\"-5x%28-5x%5E2-3x-2%29=25x%5E3%2B15x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E3%2B40x%5E2%2B25x%2B10 ALIGN=MIDDLE  ALT=\"25x%5E3%2B40x%5E2%2B25x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E3%2B40x%5E2%2B25x%2B10-%2825x%5E3%2B15x%5E2%2B10x%29=25x%5E2%2B15x%2B10 ALIGN=MIDDLE  ALT=\"25x%5E3%2B40x%5E2%2B25x%2B10-%2825x%5E3%2B15x%5E2%2B10x%29=25x%5E2%2B15x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C150%2C-2.5%2C3.5%2C-3.2%2C1.3%2C%0D%0Aline%28-0.1%2C0.1%2C4%2C0.1%29%2C+line%28-0.1%2C0.1%2C-0.1%2C-0.8%29%2C%0D%0Alocate%280%2C0.75%2C-5x%29%2Clocate%28-2.5%2C0%2C-5x%5E2-3x-2%29%2C%0D%0Alocate%280%2C0%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C0%2C40x%5E2%29%2C%0D%0Alocate%281.8%2C-0.25%2C%22%2B%22%29%2Clocate%282%2C-0.25%2C25x%29%2C%0D%0Alocate%282.8%2C-0.25%2C%22%2B%22%29%2Clocate%283%2C-0.25%2C10%29%2C%0D%0Alocate%281%2C0.75%2C-5%29%2C%0D%0Alocate%280%2C-1%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C-1%2C15x%5E2%29%2C%0D%0Alocate%281.8%2C-1.25%2C%22%2B%22%29%2Clocate%282%2C-1.25%2C10x%29%2C%0D%0Ablue%28line%28-0.1%2C-1.9%2C4%2C-1.9%29%29%2C%0D%0Alocate%281%2C-2%2C25x%5E2%29%2C%0D%0Alocate%281.8%2C-2.25%2C%22%2B%22%29%2Clocate%282%2C-2.25%2C15x%29%2C%0D%0Alocate%282.8%2C-2.25%2C%22%2B%22%29%2Clocate%283%2C-2.25%2C10%29%2C%0D%0Ablue%28line%28-0.3%2C-1.1%2C-0.1%2C-1.1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now we have to divide that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B15x%2B10 ALIGN=MIDDLE  ALT=\"25x%5E2%2B15x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > difference by  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E2-3x-2 ALIGN=MIDDLE  ALT=\"-5x%5E2-3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "To do that, the first step is dividing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2F%28-5x%5E2%29=-5 ALIGN=MIDDLE  ALT=\"25x%5E2%2F%28-5x%5E2%29=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the next (second) term of the quotient:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C150%2C-2.5%2C3.5%2C-3.2%2C1.3%2C%0D%0Aline%28-0.1%2C0.1%2C4%2C0.1%29%2C+line%28-0.1%2C0.1%2C-0.1%2C-0.8%29%2C%0D%0Alocate%280%2C0.75%2C-5x%29%2Clocate%28-2.5%2C0%2C-5x%5E2-3x-2%29%2C%0D%0Alocate%280%2C0%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C0%2C40x%5E2%29%2C%0D%0Alocate%281.8%2C-0.25%2C%22%2B%22%29%2Clocate%282%2C-0.25%2C25x%29%2C%0D%0Alocate%282.8%2C-0.25%2C%22%2B%22%29%2Clocate%283%2C-0.25%2C10%29%2C%0D%0Alocate%281%2C0.75%2C-5%29%2C%0D%0Alocate%280%2C-1%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C-1%2C15x%5E2%29%2C%0D%0Alocate%281.8%2C-1.25%2C%22%2B%22%29%2Clocate%282%2C-1.25%2C10x%29%2C%0D%0Ablue%28line%28-0.1%2C-1.9%2C4%2C-1.9%29%29%2C%0D%0Alocate%281%2C-2%2C25x%5E2%29%2C%0D%0Alocate%281.8%2C-2.25%2C%22%2B%22%29%2Clocate%282%2C-2.25%2C15x%29%2C%0D%0Alocate%282.8%2C-2.25%2C%22%2B%22%29%2Clocate%283%2C-2.25%2C10%29%2C%0D%0Alocate%281%2C0.75%2C-5%29%2Cblue%28line%28-0.3%2C-1.1%2C-0.1%2C-1.1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then, we multiply that second term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > times divisor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E2-3x-2 ALIGN=MIDDLE  ALT=\"-5x%5E2-3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and subtract the product<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%28-5x%5E2-3x-2%29=25x%5E2%2B15x%2B10 ALIGN=MIDDLE  ALT=\"-5%28-5x%5E2-3x-2%29=25x%5E2%2B15x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B15x%2B10 ALIGN=MIDDLE  ALT=\"25x%5E2%2B15x%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to get the remainder, which happens to be zero:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B15x%2B10-%2825x%5E2%2B15x%2B10%29=0 ALIGN=MIDDLE  ALT=\"25x%5E2%2B15x%2B10-%2825x%5E2%2B15x%2B10%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=drawing%28300%2C200%2C-2.5%2C3.5%2C-5%2C1%2C%0D%0Aline%28-0.1%2C0.1%2C4%2C0.1%29%2C+line%28-0.1%2C0.1%2C-0.1%2C-0.8%29%2C%0D%0Alocate%280%2C0.75%2C-5x%29%2Clocate%28-2.5%2C0%2C-5x%5E2-3x-2%29%2C%0D%0Alocate%280%2C0%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C0%2C40x%5E2%29%2C%0D%0Alocate%281.8%2C-0.25%2C%22%2B%22%29%2Clocate%282%2C-0.25%2C25x%29%2C%0D%0Alocate%282.8%2C-0.25%2C%22%2B%22%29%2Clocate%283%2C-0.25%2C10%29%2C%0D%0Alocate%281%2C0.75%2C-5%29%2C%0D%0Alocate%280%2C-1%2C25x%5E3%29%2C+locate%280.8%2C-0.25%2C%22%2B%22%29%2Clocate%281%2C-1%2C15x%5E2%29%2C%0D%0Alocate%281.8%2C-1.25%2C%22%2B%22%29%2Clocate%282%2C-1.25%2C10x%29%2C%0D%0Ablue%28line%28-0.1%2C-1.9%2C4%2C-1.9%29%29%2C%0D%0Alocate%281%2C-2%2C25x%5E2%29%2C%0D%0Alocate%281.8%2C-2.25%2C%22%2B%22%29%2Clocate%282%2C-2.25%2C15x%29%2C%0D%0Alocate%282.8%2C-2.25%2C%22%2B%22%29%2Clocate%283%2C-2.25%2C10%29%2C%0D%0Alocate%281%2C0.75%2C-5%29%2C%0D%0Alocate%281%2C-3%2C25x%5E2%29%2C%0D%0Alocate%281.8%2C-3.25%2C%22%2B%22%29%2Clocate%282%2C-3.25%2C15x%29%2C%0D%0Alocate%282.8%2C-3.25%2C%22%2B%22%29%2Clocate%283%2C-3.25%2C10%29%2C%0D%0Alocate%283.1%2C-4.25%2C0%29%2C+blue%28line%280.8%2C-4%2C4%2C-4%29%29%2C%0D%0Ablue%28line%28-0.3%2C-1.1%2C-0.1%2C-1.1%29%29%2Cblue%28line%280.8%2C-3.1%2C1%2C-3.1%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );