document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=309849>Question 309849</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you tell me if I did this problem right.  Here is the word problem:<BR>\n" );
document.write( "In a study of worker efficiency at Wong Laboratories it was found that the numer of components assembled per hour by the average worker t hours after starting work could be modeled by the formula\r<BR>\n" );
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document.write( "N(1) = -3t^3 + 23t^2 + 8t.\r<BR>\n" );
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document.write( "a)  Rewrite the formula by factoring the right hand side completely.<BR>\n" );
document.write( "b)  Use the facored version of the formula to find N(3)\r<BR>\n" );
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document.write( "This is my solution:\r<BR>\n" );
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document.write( "a) N(t)=-3t^3+23t^2+8t<BR>\n" );
document.write( "=-t(3t^2-23t-8)<BR>\n" );
document.write( "=-t[(3t^2+t)-(24t-8)]<BR>\n" );
document.write( "=-t[t(3t+1)-8(3t+1) ]<BR>\n" );
document.write( "=-t(t-8)(3t+1)\r<BR>\n" );
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document.write( "b) N(3)=-3(3-8)(3×3+1)<BR>\n" );
document.write( "=-3(-5)(10)<BR>\n" );
document.write( "N(3)=150\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #221606 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=221606\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) First, factor:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%28t%29+=+-3t%5E3%2B23t%5E2%2B8t ALIGN=MIDDLE  ALT=\"N%28t%29+=+-3t%5E3%2B23t%5E2%2B8t\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor a -t.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%28t%29+=+-t%283t%5E2-23t-8%29 ALIGN=MIDDLE  ALT=\"N%28t%29+=+-t%283t%5E2-23t-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now, factor the trinomial.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%28t%29+=+-t%283t%2B1%29%28t-8%29 ALIGN=MIDDLE  ALT=\"N%28t%29+=+-t%283t%2B1%29%28t-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%283%29+=+-3%283%2A3%2B1%29%283-8%29 ALIGN=MIDDLE  ALT=\"N%283%29+=+-3%283%2A3%2B1%29%283-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%283%29+=+-3%2810%29%28-5%29 ALIGN=MIDDLE  ALT=\"N%283%29+=+-3%2810%29%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N%283%29+=+-30%28-5%29 ALIGN=MIDDLE  ALT=\"N%283%29+=+-30%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28N%283%29+=+150%29 ALIGN=MIDDLE  ALT=\"highlight%28N%283%29+=+150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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