document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=673519>Question 673519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey, I need help solving the following problem- Factor each polynomial completely using the given factor and long division: <BR>\n" );
document.write( "x^3+2x^2-21x+18; x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418714 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=418714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^3 + 2x^2 - 21x + 18   divided by x-3<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x-3 goes into x^3 + 2x^2:   x^2<BR>\n" );
document.write( "yielding x^3 - 3x^2<BR>\n" );
document.write( "...<BR>\n" );
document.write( "x^3 + 2x^2 - x^3 - -3x^2 = 5x^2<BR>\n" );
document.write( "x-3 goes into 5x^2 - 21x: 5x<BR>\n" );
document.write( "yielding<BR>\n" );
document.write( "5x^2 - 15x <BR>\n" );
document.write( "...<BR>\n" );
document.write( "5x^2 - 21x - 5x^2 - -15x = -6x<BR>\n" );
document.write( "x-3 goes into -6x + 18: -6<BR>\n" );
document.write( "yeilding<BR>\n" );
document.write( "-6x + 18<BR>\n" );
document.write( "...<BR>\n" );
document.write( "-6x + 18 - -6x - 18 = 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B2x%5E2-21x%2B18%29%2F%28x-3%29=+highlight_green%28x%5E2+%2B+5x+-+6%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B2x%5E2-21x%2B18%29%2F%28x-3%29=+highlight_green%28x%5E2+%2B+5x+-+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which factors to (x+6)(x-1)<BR>\n" );
document.write( "...<BR>\n" );
document.write( "(x-3)(x+6)(x-1)<BR>\n" );
document.write( "x = -6, 1, 3\r<BR>\n" );
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document.write( ".....................<BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );