document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=323495>Question 323495</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem,,, f(x)=(x-2)^2(x+1)(x-5)=0  The question wants me to start the problem by simplifying into polynomial form.  I've tried the FOIL method and its just not working out.\r<BR>\n" );
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document.write( "The online course does give an example, but I can't see how they \"solved\" or got too the example. lol  I need an example of the example.\r<BR>\n" );
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document.write( "Here is the example:\r<BR>\n" );
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document.write( "(x-2)^2(x+1)(x-5)=0<BR>\n" );
document.write( "x^4-8x^3+15x^2+4x-20=0  I need to see how they came to this point.  Once I see that I will be ok.   This is apart of a problem wanting me to graph the polynomial function.\r<BR>\n" );
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document.write( "I really appreciate the help.\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Tom Adkins<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #231591 by </B><A HREF=/tutors/aboutme.mpl?userid=jessica43><B>jessica43(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jessica43><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=231591\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi Tom,<BR>\n" );
document.write( "You were correct in using the FOIL method for this problem, you will use this method 3 times.  <BR>\n" );
document.write( "First rewrite the problem so it is easier to see how to multiply:<BR>\n" );
document.write( "(x-2)^2(x+1)(x-5)<BR>\n" );
document.write( "=(x-2)(x-2)(x+1)(x-5)<BR>\n" );
document.write( "Now we will use the method 3 times.  First, multiply out just the (x-2)(x-2):<BR>\n" );
document.write( "(x-2)(x-2)(x+1)(x-5)<BR>\n" );
document.write( "=(x^2-2x-2x+4)(x+1)(x-5)<BR>\n" );
document.write( "=(x^2-4x+4)(x+1)(x-5)<BR>\n" );
document.write( "Now multiply (x^2-4x+4)(x+1) using FOIL:<BR>\n" );
document.write( "=(x^2-4x+4)(x+1)(x-5)<BR>\n" );
document.write( "=(x^3-4x^2+4x+x^2-4x+4)(x-5)<BR>\n" );
document.write( "This can be simplified by adding the x^2 values and adding the x values:<BR>\n" );
document.write( "=(x^3-3x^2+4)(x-5)<BR>\n" );
document.write( "Finally, multiply (FOIL) what is left:<BR>\n" );
document.write( "=(x^3-3x^2+4)(x-5)<BR>\n" );
document.write( "=(x^4-3x^3+4x-5x^3+15x^2-20)<BR>\n" );
document.write( "=(x^4-8x^3+15x^2+4x-20)<BR>\n" );
document.write( "So this is your simplified polynomial form:<BR>\n" );
document.write( "x^4-8x^3+15x^2+4x-20= 0\r<BR>\n" );
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document.write( "I hope this helped!  Let me know if you have more questions! </SPAN>\n" );
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