document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=210686>Question 210686</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how would i factor this equation: 2a^2+7a^1-4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159178 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=159178\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> factor this equation: 2a^2+7a^1-4<BR>\n" );
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document.write( "Use the AC Method.<BR>\n" );
document.write( "a = 2 ; b = 7 ; c = -4<BR>\n" );
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document.write( "Think of two numbers whose product is AC = 2*-4 = -8<BR>\n" );
document.write( "and whose sum or difference is b = 7<BR>\n" );
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document.write( "The numbers are +8 and -1:<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Replace the \"b\" term by 8a - a.<BR>\n" );
document.write( "2a^2 +8a - a - 4<BR>\n" );
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document.write( "Factor the 1st two and the last two terms separately:<BR>\n" );
document.write( "2a(a+4)-(a+4)<BR>\n" );
document.write( "Factor again to get the final answer:<BR>\n" );
document.write( "(a+4)(2a-1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
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