document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180922>Question 180922</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Explain how to factor a polynomial of thw form ax^2+bx=c when a is not<BR>\n" );
document.write( "equal to 1. Describe both the grouping approach as well as reversing FOIL.<BR>\n" );
document.write( "Contrast the two methods by means of an example. Discuss which is the best<BR>\n" );
document.write( "approach and why.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank You<BR>\n" );
document.write( "Denise </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135647 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=135647\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Explain how to factor a polynomial of thw form ax^2+bx=c when a is not<BR>\n" );
document.write( "equal to 1. Describe both the grouping approach as well as reversing FOIL.<BR>\n" );
document.write( "Contrast the two methods by means of an example. Discuss which is the best<BR>\n" );
document.write( "approach and why. <BR>\n" );
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document.write( "The FOIL process results in a trinomial when the \"O\" and the \"I\"<BR>\n" );
document.write( "products are \"like\" terms and can be combined.<BR>\n" );
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document.write( "The inverse operation takes a middle term of a trinomial and breaks<BR>\n" );
document.write( "it into two terms that allow for common factorization.<BR>\n" );
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document.write( "Example: 2x^2 + 7x + 6<BR>\n" );
document.write( "AC = 12<BR>\n" );
document.write( "B = 7<BR>\n" );
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document.write( "Think of 2 numbers whose product is AC and whose sum is B<BR>\n" );
document.write( "The numbers are 3 and 4.<BR>\n" );
document.write( "Break the middle term into 3x+4x then find a common factor as follows:<BR>\n" );
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document.write( "2x^2 + 3x + 4x + 6<BR>\n" );
document.write( "x(2x+3) + 2(x+3)<BR>\n" );
document.write( "(x+3)(x+2)<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );