document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747975>Question 747975</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use synthetic division\r<BR>\n" );
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document.write( "3x^3 - 15x^2 -42x / (x + 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #455284 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39626)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=455284\">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=3x%5E3+-+15x%5E2+-42x ALIGN=MIDDLE  ALT=\"3x%5E3+-+15x%5E2+-42x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ..........<BR>\n" );
document.write( "First, factor this, and then you have a simpler dividend to use.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E3+-+15x%5E2+-42x+=+3x%2A%28x%5E2-5x-14%29 ALIGN=MIDDLE  ALT=\"3x%5E3+-+15x%5E2+-42x+=+3x%2A%28x%5E2-5x-14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, you would do the division of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2-5x-14%29%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2-5x-14%29%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then put back your factor of 3x.\r<BR>\n" );
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document.write( "The root being tested would be -2, so set up the synthetic div.\r<BR>\n" );
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document.write( "-2____|____1____-5____-14<BR>\n" );
document.write( "______|<BR>\n" );
document.write( "______|_________-2_____14<BR>\n" );
document.write( "___________________________<BR>\n" );
document.write( "___________1____-7_____0     Remainder is 0\r<BR>\n" );
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document.write( "This means, QUOTIENT IS <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Ax-7 ALIGN=MIDDLE  ALT=\"1%2Ax-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x-7%29 ALIGN=MIDDLE  ALT=\"highlight%28x-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  According to the original expression to be divided, the quotient of that would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%28x-7%29=highlight%283x%5E2-21%29 ALIGN=MIDDLE  ALT=\"3x%28x-7%29=highlight%283x%5E2-21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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