document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149109>Question 149109</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor completely\r<BR>\n" );
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document.write( "1)x^3-6x^2+11x-6 given that x-1 is a factor\r<BR>\n" );
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document.write( "2)x^2+6x+9=0\r<BR>\n" );
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document.write( "3)2x^2+5x-12=0\r<BR>\n" );
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document.write( "4)3x^3=12x\r<BR>\n" );
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document.write( "5)(2x-1)(3x+5)=5<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 #109447 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=109447\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)<BR>\n" );
document.write( "(x^3-6x^2+11x-6)/(x-1) Long division or synthetic division.<BR>\n" );
document.write( "=x^2-5x+6<BR>\n" );
document.write( "=(x-3)(x-2)<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "x^2+6x+9=0<BR>\n" );
document.write( "(x+3)^2=0<BR>\n" );
document.write( "x=-3<BR>\n" );
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document.write( "3)<BR>\n" );
document.write( "2x^2+5x-12=0<BR>\n" );
document.write( "2*-12=-24... 8 and -3 are factors of -24 that when added equal 5.<BR>\n" );
document.write( "2x^2+8x-3x-12=0<BR>\n" );
document.write( "2x(x+4)-3(x+4)=0<BR>\n" );
document.write( "(2x-3)(x+4)=0<BR>\n" );
document.write( "2x=3<BR>\n" );
document.write( "x=3/2<BR>\n" );
document.write( "x=-4<BR>\n" );
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document.write( "4)<BR>\n" );
document.write( "3x^3=12x<BR>\n" );
document.write( "3x^3-12x=0<BR>\n" );
document.write( "3x(x^2-4)=0<BR>\n" );
document.write( "3x(x+2)(x-2)=0<BR>\n" );
document.write( "x=0, x=-2, x=2<BR>\n" );
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document.write( "5)<BR>\n" );
document.write( "(2x-1)(3x+5)=5<BR>\n" );
document.write( "6x^2+7x-5=5<BR>\n" );
document.write( "6x^2+7x-10=0<BR>\n" );
document.write( "6*-10=-60... 12 and -5 are factors of -60 whose sum is 7.<BR>\n" );
document.write( "6x^2+12x-5x-10=0<BR>\n" );
document.write( "6x(x+2)-5(x+2)=0<BR>\n" );
document.write( "(6x-5)(x+2)=0<BR>\n" );
document.write( "6x=5<BR>\n" );
document.write( "x=5/6<BR>\n" );
document.write( "x=-2<BR>\n" );
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document.write( "Ed\r<BR>\n" );
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