document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206090>Question 1206090</A>: <I><SPAN STYLE=\"word-break: break-all;\"> divide the polynomials using long division. Then verify your solution by using synthetic division. Show your work.\r<BR>\n" );
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document.write( "(-2x^3 + 5x^2 - x + 2) ÷ (x + 2)\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 #843298 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=843298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2x%5E3+%2B+5x%5E2+-+x+%2B+2%29+%2F%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28-2x%5E3+%2B+5x%5E2+-+x+%2B+2%29+%2F%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "using long division\r<BR>\n" );
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document.write( "...........(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2B9x-19 ALIGN=MIDDLE  ALT=\"-2x%5E2%2B9x-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3+%2B+5x%5E2+-+x+%2B+2 ALIGN=MIDDLE  ALT=\"-2x%5E3+%2B+5x%5E2+-+x+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "............<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E3-4x%5E2 ALIGN=MIDDLE  ALT=\"-2x%5E3-4x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >............subtract<BR>\n" );
document.write( "......................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2 ALIGN=MIDDLE  ALT=\"9x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........bring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x ALIGN=MIDDLE  ALT=\"-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > down<BR>\n" );
document.write( "......................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2-x ALIGN=MIDDLE  ALT=\"9x%5E2-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "......................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E2%2B18x ALIGN=MIDDLE  ALT=\"9x%5E2%2B18x\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........subtract<BR>\n" );
document.write( "...............................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x ALIGN=MIDDLE  ALT=\"-19x\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........bring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > down<BR>\n" );
document.write( "...............................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x%2B2 ALIGN=MIDDLE  ALT=\"-19x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...............................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19x-38 ALIGN=MIDDLE  ALT=\"-19x-38\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........subtract<BR>\n" );
document.write( ".......................................<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > => reminder\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+x%5E3+%2B+5+x%5E2+-+x+%2B+2+=+%28-2+x%5E2+%2B+9+x+-+19%29%28x+%2B+2%29+%2B+40 ALIGN=MIDDLE  ALT=\"-2+x%5E3+%2B+5+x%5E2+-+x+%2B+2+=+%28-2+x%5E2+%2B+9+x+-+19%29%28x+%2B+2%29+%2B+40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "verify solution by using synthetic division\r<BR>\n" );
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document.write( "Write the coefficients of the dividend to the right.\r<BR>\n" );
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document.write( ".....|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E1 ALIGN=MIDDLE  ALT=\"x%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E0 ALIGN=MIDDLE  ALT=\"x%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >|...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >|...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >|...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >|...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >|\r<BR>\n" );
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document.write( "Write down the first coefficient without changes:\r<BR>\n" );
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document.write( "We have obtained the following resulting coefficients:\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-19 ALIGN=MIDDLE  ALT=\"-19\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the last coefficient is the remainder)\r<BR>\n" );
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document.write( " the quotient is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2%2B9x-19 ALIGN=MIDDLE  ALT=\"-2x%5E2%2B9x-19\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the remainder is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40 ALIGN=MIDDLE  ALT=\"40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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