document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199766>Question 199766</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial. <BR>\n" );
document.write( "x^3-4x^2+x+6, x+1\r<BR>\n" );
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document.write( "A) (x+1)(x^2-5x+6)<BR>\n" );
document.write( "B) (x+1)(x-3)(x-2)<BR>\n" );
document.write( "C) (x+1)(x-3)(x+2)<BR>\n" );
document.write( "D) (x+1)(x+3)(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 #150125 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=150125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to  factor  ,,,x^3 -4x^2 +x +6,,,,knowing  (x+1)  is  a  factor,,,,use  poly division  or  synthetic  division<BR>\n" );
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document.write( ",,,,,,-1,,,,1,,,,-4,,,,,+1,,,,6<BR>\n" );
document.write( ",,,,,,,,,,,,,,,,,,,-1,,,,,+5,,,-6<BR>\n" );
document.write( ",,,,,,,,,,,,,,,__________________<BR>\n" );
document.write( ",,,,,,,,,,,,,,1,,,,-5,,,,+6,,,,,0<BR>\n" );
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document.write( "(x+1)(x^2 -5x +6),,,,,,,now  just  factor  2nd  term<BR>\n" );
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document.write( "(x+1)  ( x-3) (x-2),,,,,or  answer  B<BR>\n" );
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document.write( "to  check,  multiply  factors  to  reach  original,,,,ok </SPAN>\n" );
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