document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=84726>Question 84726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Okay I was supposed to multiply (x-3)(x-2)(x-2)....I have =x^3+3x+4x+7<BR>\n" );
document.write( "=x^3+7x+7..Did I do this right??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61034 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=61034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have some errors somewhere.<BR>\n" );
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document.write( "Probably the best way to work this problem is to select any two of the factors you are given,<BR>\n" );
document.write( "then multiply those two together. When you get that answer, multiply it by the remaining<BR>\n" );
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document.write( "Let's do it.<BR>\n" );
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document.write( "Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x-2%29%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x-2%29%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Pick two of the factors. It could be any two, but let's take the first two and multiply:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2A%28x-2%29 ALIGN=MIDDLE  ALT=\"%28x-3%29%2A%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "From the first set of parentheses take the x and multiply it by both terms in the second<BR>\n" );
document.write( "set of parentheses. This results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Ax%29+%2B+%28x%2A%28-2%29%29+=+x%5E2+-+2x ALIGN=MIDDLE  ALT=\"%28x%2Ax%29+%2B+%28x%2A%28-2%29%29+=+x%5E2+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <=== remember the answer of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x ALIGN=MIDDLE  ALT=\"x%5E2+-+2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "next, take the second term in the first set of parentheses and multiply this by both terms<BR>\n" );
document.write( "in the second set of parentheses.  In other words, take the -3 from the first set of<BR>\n" );
document.write( "parentheses and multiply it by both terms in (x - 2). This is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%29%2A%28x+-+2%29+=+-3%2Ax+%2B+%28-3%29%2A%28-2%29+=+-3x+%2B+6+ ALIGN=MIDDLE  ALT=\"%28-3%29%2A%28x+-+2%29+=+-3%2Ax+%2B+%28-3%29%2A%28-2%29+=+-3x+%2B+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Take the answer you remembered from above and add this last answer to it. The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+2x+-+3x+%2B+6+=+x%5E2+-+5x+%2B+6 ALIGN=MIDDLE  ALT=\"x%5E2+-+2x+-+3x+%2B+6+=+x%5E2+-+5x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now take this answer and multiply it by the third factor from the original problem.<BR>\n" );
document.write( "The third factor is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29 ALIGN=MIDDLE  ALT=\"%28x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you multiply it by the answer you got by multiplying<BR>\n" );
document.write( "the first two factors.  This multiplication is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2A%28x%5E2+-+5x+%2B+6%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%2A%28x%5E2+-+5x+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To do this multiplication start by taking the x from the first set of parentheses and<BR>\n" );
document.write( "multiply it by all three terms in the second set of parentheses. That is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Ax%5E2+%2B+x%2A%28-5x%29+%2B+x%2A6+=+x%5E3+-+5x%5E2+%2B+6x+ ALIGN=MIDDLE  ALT=\"x%2Ax%5E2+%2B+x%2A%28-5x%29+%2B+x%2A6+=+x%5E3+-+5x%5E2+%2B+6x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <=== remember the answer <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+-5x%5E2%2B6x ALIGN=MIDDLE  ALT=\"x%5E3+-5x%5E2%2B6x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then take the -2 from the first set of parentheses and multiply it by all three terms in<BR>\n" );
document.write( "the second set of parentheses. That is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2%29%2Ax%5E2+%2B+%28-2%29%2A%28-5x%29+%2B+%28-2%29%2A6+=+-2x%5E2+%2B+10x+-+12 ALIGN=MIDDLE  ALT=\"%28-2%29%2Ax%5E2+%2B+%28-2%29%2A%28-5x%29+%2B+%28-2%29%2A6+=+-2x%5E2+%2B+10x+-+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Take the answer you remembered above and add this answer to it. The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-5x%5E2%2B6x-2x%5E2%2B10x-12 ALIGN=MIDDLE  ALT=\"x%5E3-5x%5E2%2B6x-2x%5E2%2B10x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Collect the like powers of x in descending order:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+-5x%5E2-2x%5E2%2B6x%2B10x-12 ALIGN=MIDDLE  ALT=\"x%5E3+-5x%5E2-2x%5E2%2B6x%2B10x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the like terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x%5E2 ALIGN=MIDDLE  ALT=\"-5x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x%5E2 ALIGN=MIDDLE  ALT=\"-2x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7x%5E2 ALIGN=MIDDLE  ALT=\"-7x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Also combine the<BR>\n" );
document.write( "terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x ALIGN=MIDDLE  ALT=\"6x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x ALIGN=MIDDLE  ALT=\"10x\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x ALIGN=MIDDLE  ALT=\"16x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This makes the final answer become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3+-+7x%5E2+%2B+16x+-+12 ALIGN=MIDDLE  ALT=\"x%5E3+-+7x%5E2+%2B+16x+-+12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "That's the answer you should have gotten. <BR>\n" );
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document.write( "Hope this helps you to see a way of solving problems of this type and also helps you to find<BR>\n" );
document.write( "where you made your mistakes.<BR>\n" );
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