document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51134>Question 51134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok i dont know what categorey it goes in.. but i need help on changing trinomials into binomials. \r<BR>\n" );
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document.write( "I am a visual learner so please show me how to convert them.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34106 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=34106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It seems to me that you are into \"factoring\" trinomials, which is basically a process of converting trinomials into binomial factors. Of course, not all trinomials can be factored, but \"factoring trinomials\" constitutes an entire lesson for those that can be factored.\r<BR>\n" );
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document.write( "Here's an elementary example:<BR>\n" );
document.write( "Factor the following expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "The factors will be two \"binomials\" of the following form: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Ba%29%28x%2Bb%29 ALIGN=MIDDLE  ALT=\"%28x%2Ba%29%28x%2Bb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > You'll need to find the values of a and b. These two binomial factors, when multiplied together will result in the original trinomial expression. <BR>\n" );
document.write( "Comparing the binomial factors with the trinomial, you can write this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2+=+x%5E2+%2B+%28a%2Bb%29x+%2B%28a%2Ab%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2+=+x%5E2+%2B+%28a%2Bb%29x+%2B%28a%2Ab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > so this means that:<BR>\n" );
document.write( "a+b = 3 and a*b = 2<BR>\n" );
document.write( "What are the possibilities?<BR>\n" );
document.write( "a = 1 and b = 2 or<BR>\n" );
document.write( "a = 2 and b = 1\r<BR>\n" );
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document.write( "Let's try these in the binomial forms and see what we get.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%29%28x%2B2%29 ALIGN=MIDDLE  ALT=\"x%2B1%29%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply these factors using the FOIL method.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%2B2%29+=+x%5E2%2B2x%2Bx%2B2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%2B2%29+=+x%5E2%2B2x%2Bx%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplifying this, we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > The original trinomial!\r<BR>\n" );
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document.write( "You would get exactly the same result if you used:<BR>\n" );
document.write( "a = 2 and b = 1<BR>\n" );
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