document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=268710>Question 268710</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor out the GCF of the polynomial\r<BR>\n" );
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document.write( "(x^2-3x)(x^2+4x+5)+(6x+2)(x^2+4x+5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196905 by </B><A HREF=/tutors/aboutme.mpl?userid=persian52><B>persian52(161)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=persian52><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=persian52><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here you go my friend, hope it helps!<BR>\n" );
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document.write( "(x^(2)-3x)(x^(2)+4x+5)+(6x+2)(x^(2)+4x+5)\r<BR>\n" );
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document.write( "Arrange the variables alphabetically within the expression (6x+2)(x^(2)+4x+5).  This is the standard way of writing an expression.<BR>\n" );
document.write( "(x^(2)-3x)(x^(2)+4x+5)+(x^(2)+4x+5)(6x+2)\r<BR>\n" );
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document.write( "Factor out the GCF of (x^(2)+4x+5) from each term in the polynomial.<BR>\n" );
document.write( "(x^(2)+4x+5)((x^(2)-3x))+(x^(2)+4x+5)((6x+2))\r<BR>\n" );
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document.write( "Factor out the GCF of (x^(2)+4x+5) from (x^(2)-3x)(x^(2)+4x+5)+(x^(2)+4x+5)(6x+2).<BR>\n" );
document.write( "(x^(2)+4x+5)((x^(2)-3x)+(6x+2))\r<BR>\n" );
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document.write( "Remove the parentheses that are not needed from the expression.<BR>\n" );
document.write( "(x^(2)+4x+5)(x^(2)-3x+6x+2)\r<BR>\n" );
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document.write( "Since -3x and 6x are like terms, subtract 6x from -3x to get 3x.<BR>\n" );
document.write( "(x^(2)+4x+5)(x^(2)+3x+2)\r<BR>\n" );
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document.write( "For a polynomial of the form x^(2)+bx+c, find two factors of c (2) that add up to b (3).  In this problem 2*1=2 and 2+1=3, so insert 2 as the right hand term of one factor and 1 as the right-hand term of the other factor.<BR>\n" );
document.write( "(x^(2)+4x+5)(x+2)(x+1)\r<BR>\n" );
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document.write( "The GCF (Greatest Common Factor) is the polynomial that was factored from each expression.<BR>\n" );
document.write( "Answer: (x^(2)+4x+5) </SPAN>\n" );
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