document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=382915>Question 382915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to understand this question in easy terms and an example please.\r<BR>\n" );
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document.write( "Why do you factor a quadratic equation before you solve? Thank you very much!\r<BR>\n" );
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document.write( "Regards </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #271253 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=271253\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  I am trying to understand this question in easy terms and an example please. <BR>\n" );
document.write( "Why do you factor a quadratic equation before you solve? Thank you very much!<BR>\n" );
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document.write( "When you have a quadratic problem the \"solution\" is <BR>\n" );
document.write( "immediately seen by any person who can unravel the<BR>\n" );
document.write( "pattern expressed by the form.  Most people cannot<BR>\n" );
document.write( "do that till the quadratic is factored.<BR>\n" );
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document.write( "Example:<BR>\n" );
document.write( "When you see x^2+5x+6 = 0 do you \"see\" the solutions?<BR>\n" );
document.write( "Most people do not.<BR>\n" );
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document.write( "So we factor the expression to get:<BR>\n" );
document.write( "(x+3)(x+2) = 0<BR>\n" );
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document.write( "If you have studied algebra you see the product<BR>\n" );
document.write( "is zero so one of the factors must be zero.<BR>\n" );
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document.write( "You say:<BR>\n" );
document.write( "x+3 = 0 or x+2=0<BR>\n" );
document.write( "Maybe at this point you \"see\" the solutions.<BR>\n" );
document.write( "If not you solve each equation.<BR>\n" );
document.write( "x = -3 or x = -2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Now you have the solutions.<BR>\n" );
document.write( "If you had \"seen\" them in the 1st place you would<BR>\n" );
document.write( "not have factored the problem.<BR>\n" );
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document.write( "So, factoring is a crutch we use to help us<BR>\n" );
document.write( "\"see\" the solutions.<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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