document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266642>Question 266642</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 18x^3-36x^2-38x-4 / 6x+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195888 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=195888\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can solve this by polynomial or synthetic division. Synthetic is faster. First, set 6x + 4 = 0 and solve for x as x = -2/3. Now divide as\r<BR>\n" );
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document.write( "(-2/3) // . . . . . . . . 18 . . . . . . -36. . . . . . -38 . . . . . . . -4<BR>\n" );
document.write( " . . . . . . . . . . . . . . . . . . . . . . . . -12 . . . . . . 32 . . . . . . . . 4<BR>\n" );
document.write( ". . . . . . . . . . . . . . . .18. . . . . . . -48. . . . . . .-6. . . . . . . . .0<BR>\n" );
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document.write( "we know one root is x = (-2/3)<BR>\n" );
document.write( "we have <BR>\n" );
document.write( "18x^2 - 48x - 6 = 0<BR>\n" );
document.write( "divide by 6 to get<BR>\n" );
document.write( "3x^2 - 8x - 1 = 0<BR>\n" );
document.write( "using the quadratic, we get<BR>\n" );
document.write( "x ~ 2.786<BR>\n" );
document.write( "and<BR>\n" );
document.write( "x ~ -0.1196<BR>\n" );
document.write( "so, our 3 roots are<BR>\n" );
document.write( "{-2/3, -.1196, and 2.786} </SPAN>\n" );
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