document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230315>Question 230315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you factor 2y^2 + 5y + 2? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170529 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=170529\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you factor 2y^2 + 5y + 2?<BR>\n" );
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document.write( "AC = 2*2 = 4<BR>\n" );
document.write( "B = 5<BR>\n" );
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document.write( "Think of two numbers whose product is AC=4 and whose sum is B=5<BR>\n" );
document.write( "Ans: 4 and 1<BR>\n" );
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document.write( "Replace 5y by 4y+y in the original equation:<BR>\n" );
document.write( "2y^2 + 4y + y + 2<BR>\n" );
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document.write( "Factor the 1st 2 and the last two terms separately:<BR>\n" );
document.write( "2y(y+2) + (y+2)<BR>\n" );
document.write( "Factor again to get the final answer:<BR>\n" );
document.write( "(y+2)(2y+1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );