document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53491>Question 53491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem. Can someone write out the steps if possible.  Thank you.\r<BR>\n" );
document.write( "\n" );
document.write( "Factor the polynomial into two polynomials of lesser degrees given one of its factors:\r<BR>\n" );
document.write( "\n" );
document.write( "((x^3+2x^2-5x-6; factor: 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 #35768 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35768\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%2B2x%5E2-5x-6%29 ALIGN=MIDDLE  ALT=\"%28x%5E3%2B2x%5E2-5x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; factor: x-2 [Use synthetic division or regular division to solve]\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( "Since (x-2) is one of the factors, divide the polynomial by (x-2):<BR>\n" );
document.write( ".<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2 [Divisor]\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "1+2-5-6 [Use only the coefficients for the dividend]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "________________________<BR>\n" );
document.write( "1 [Bring down the very first coefficient of \"1\"]\r<BR>\n" );
document.write( "\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "1+2-5-6 [Dividend]<BR>\n" );
document.write( "0+2<BR>\n" );
document.write( "________________________<BR>\n" );
document.write( "1+4 [Begin to \"divide\" by 2 by multiplying [(1*2) + 2)=4]\r<BR>\n" );
document.write( "\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "1+2-5-6 [Dividend]<BR>\n" );
document.write( "0+2+8<BR>\n" );
document.write( "________________________<BR>\n" );
document.write( "1+4+3 [Continue to \"divide\" by 2 by multiplying [(4*2)+(-5)=3]<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "1+2-5-6 [Dividend]<BR>\n" );
document.write( "0+2+8+6<BR>\n" );
document.write( "________________________<BR>\n" );
document.write( "1+4+3+0 [Continue to \"divide\" by 2 by multipling [(3*2) + (-6)=0][Quotient]\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "[Re-apply the coefficents to the \"x\"terms minus one.  For example you started with x^3, so the quotient will start with x^2]<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, the factors are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%28x%5E2%2B4x%2B3%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%28x%5E2%2B4x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Check by multiplying the factors to get the original polynomial.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );