document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=686974>Question 686974</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to find the factors for this equation :  4x to the second power + 10x + 4=\r<BR>\n" );
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document.write( "The answer is 2(2x to the second power + 5x + 2)<BR>\n" );
document.write( "              = 2(2x + 1)(x+2)\r<BR>\n" );
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document.write( "I understand the first problem, but I don't see the 10x in the final solution.  I don't understand why this is the answer.<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 #424985 by </B><A HREF=/tutors/aboutme.mpl?userid=Stitch><B>Stitch(470)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Stitch><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=424985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4X%5E2+%2B+10X+%2B+4 ALIGN=MIDDLE  ALT=\"4X%5E2+%2B+10X+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you factor a 2 out of each number, the equation can be written as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%282X%5E2+%2B+5X+%2B+2%29 ALIGN=MIDDLE  ALT=\"2%2A%282X%5E2+%2B+5X+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You need to remember to multiply the equation by 2 later but lets just look at the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2+%2B+5X+%2B+2 ALIGN=MIDDLE  ALT=\"2X%5E2+%2B+5X+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > portion right now.\r<BR>\n" );
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document.write( "Find the factors of the last 2 in the equation: 1 & 2<BR>\n" );
document.write( "Find the factors of 2X^2: 1X & 2X<BR>\n" );
document.write( "Now since the last 2 is positive that means that both factors contain both + signs or both - signs.<BR>\n" );
document.write( "But since the 5X is positive, both factors can not contain negative signs.<BR>\n" );
document.write( "Then you have to see which of your factors fit.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2+%2B+5X+%2B+2+=+%282X+%2B+1%29%2A%28X+%2B+2%29 ALIGN=MIDDLE  ALT=\"2X%5E2+%2B+5X+%2B+2+=+%282X+%2B+1%29%2A%28X+%2B+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we have to multiply that equation by 2 since we divided it by 2 in the first place.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%282%2A%28%282X+%2B+1%29%2A%28X+%2B+2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%282%2A%28%282X+%2B+1%29%2A%28X+%2B+2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can always double check your answer by goin backwards and making sure you get what you started with.<BR>\n" );
document.write( "Use the foil method on the inside of the parentheses.<BR>\n" );
document.write( "(FOIL = first, outer, inner last)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282X+%2B+1%29%2A%28X+%2B+2%29+=+%282X%2AX%29+%2B+%282X%2A2%29+%2B++%281%2AX%29+%2B+%281%2A2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2+%2B+4X+%2B+1X+%2B+2 ALIGN=MIDDLE  ALT=\"2X%5E2+%2B+4X+%2B+1X+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2X%5E2+%2B+5X+%2B+2 ALIGN=MIDDLE  ALT=\"2X%5E2+%2B+5X+%2B+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply that by the 2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A%282X%5E2+%2B+5X+%2B+2%29+=+4X%5E2+%2B+10X+%2B+4 ALIGN=MIDDLE  ALT=\"2%2A%282X%5E2+%2B+5X+%2B+2%29+=+4X%5E2+%2B+10X+%2B+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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