document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5355>Question 5355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to use long division to divide <BR>\n" );
document.write( "(2x^2 + x - 13) by (x + 3)<BR>\n" );
document.write( "Thanks for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2749 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2749\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set this up like a long division problem\r<BR>\n" );
document.write( "\n" );
document.write( "(I am going to use the square root sign on the computer)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29+sqrt%282x%5E2%2Bx-13%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29+sqrt%282x%5E2%2Bx-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The steps for long division are:<BR>\n" );
document.write( "Step 1. divide the first term of the numerator by the first term of the denominator<BR>\n" );
document.write( "Step 2. multiply both terms in the denominator by the result of step 1.<BR>\n" );
document.write( "Step 3. subtract the result of step 2 from the original numerator<BR>\n" );
document.write( "Step 4. Bring the next number from the numerator down and add to the result of step 3\r<BR>\n" );
document.write( "\n" );
document.write( "repeat the process \r<BR>\n" );
document.write( "\n" );
document.write( "perform the division part of the long division on the FIRST term of the numerator (the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E2%2Bx-13%29 ALIGN=MIDDLE  ALT=\"%282x%5E2%2Bx-13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the first term of the denominator (the X in the (x+3)) , but perform the multiplication and subtraction on BOTH terms in the denominator (both the x and the 3 in the (x+3) term):\r<BR>\n" );
document.write( "\n" );
document.write( "Step 1.  divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2 ALIGN=MIDDLE  ALT=\"2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by x and get 2x<BR>\n" );
document.write( "Step 2. multiply (x+3) by 2x to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 3. subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B6x ALIGN=MIDDLE  ALT=\"2x%5E2%2B6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Bx-13 ALIGN=MIDDLE  ALT=\"2x%5E2%2Bx-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x ALIGN=MIDDLE  ALT=\"-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 4. Bring down the next term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13 ALIGN=MIDDLE  ALT=\"-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and add it to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x ALIGN=MIDDLE  ALT=\"-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-13 ALIGN=MIDDLE  ALT=\"-5x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Repeat:\r<BR>\n" );
document.write( "\n" );
document.write( "Step 1. divide <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x ALIGN=MIDDLE  ALT=\"-5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 2. multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+5 ALIGN=MIDDLE  ALT=\"-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B3 ALIGN=MIDDLE  ALT=\"x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-15 ALIGN=MIDDLE  ALT=\"-5x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Step 3. subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-15 ALIGN=MIDDLE  ALT=\"-5x-15\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-13 ALIGN=MIDDLE  ALT=\"-5x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and get 2 as a remainder\r<BR>\n" );
document.write( "\n" );
document.write( "The answer will is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-5 ALIGN=MIDDLE  ALT=\"2x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > with a remainder of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"2%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );