document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=826774>Question 826774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a.The numbers left over from synthetic division make up the remaining factor. In this case, the numbers are 1, -1, and 6. They become the coefficients of the other polynomial. x^2-x-6. This gets factored further to find the remaining 2 factors. Find the 2 remaining factors of x^3-3x^2 -4x+12 by factoring x^2-x-6.\r<BR>\n" );
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document.write( "b. Find the factors:<BR>\n" );
document.write( "x^3-x^2-17x-15=(x+3)(   )(   )\r<BR>\n" );
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document.write( "Any help is much appreciated.\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 #498248 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=498248\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.The numbers left over from synthetic division make up the remaining factor. In this case, the numbers are 1, -1, and 6. <BR>\n" );
document.write( "They become the coefficients of the other polynomial. x^2-x-6. <BR>\n" );
document.write( "This gets factored further to find the remaining 2 factors. <BR>\n" );
document.write( "Find the 2 remaining factors of x^3-3x^2 -4x+12 by factoring x^2-x-6.<BR>\n" );
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document.write( "x^2-x-6 = (x-3)(x+2) \r<BR>\n" );
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document.write( "b. Find the factors of x^3-x^2 -17x - 15:<BR>\n" );
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document.write( "-3)....1....-1....-17....-15<BR>\n" );
document.write( "....1.....-4....-5...|..0<BR>\n" );
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document.write( "-1).....1...-4..-5<BR>\n" );
document.write( "........1...-5..|0\r<BR>\n" );
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document.write( "Then x = 5 is a root.\r<BR>\n" );
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document.write( "So, x^3-x^2-17x-15=(x+3)(x+1)(x-5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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