document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=292578>Question 292578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I  would appreciate assistance with how this problem is completed.\r<BR>\n" );
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document.write( "In a study of worker efficiency at Wong<BR>\n" );
document.write( "Laboratories it was found that the number of components<BR>\n" );
document.write( "assembled per hour by the average worker t hours after<BR>\n" );
document.write( "starting work could be modeled by the formula<BR>\n" );
document.write( "N(t)=-3t^3+23t^2+8t.<BR>\n" );
document.write( "a) Rewrite the formula by factoring the right-hand side<BR>\n" );
document.write( "completely.<BR>\n" );
document.write( "b) Use the factored version of the formula to find N(3). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211292 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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/cgi-bin/show-face.mpl?user=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=211292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Laboratories it was found that the number of components<BR>\n" );
document.write( "assembled per hour by the average worker t hours after<BR>\n" );
document.write( "starting work could be modeled by the formula<BR>\n" );
document.write( "N(t)=-3t^3+23t^2+8t.<BR>\n" );
document.write( "a) Rewrite the formula by factoring the right-hand side<BR>\n" );
document.write( "completely.<BR>\n" );
document.write( "N(t)=-3t^3+23t^2+8t<BR>\n" );
document.write( "N(t)=t(-3t^2+23t+8)<BR>\n" );
document.write( "N(t)=t(-3t^2+24t-t+8)<BR>\n" );
document.write( "N(t)=t((-3t^2+24t)-(t-8))<BR>\n" );
document.write( "N(t)=t(3t(-t+8)-(t-8))<BR>\n" );
document.write( "N(t)=t(-3t(t-8)-(t-8))<BR>\n" );
document.write( "N(t)=t(t-8)(-3t-1)<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) Use the factored version of the formula to find N(3)<BR>\n" );
document.write( "N(t)=t(t-8)(-3t-1)<BR>\n" );
document.write( "N(3)=3(3-8)(-3(3)-1)<BR>\n" );
document.write( "N(3)=3(-5)(-9-1)<BR>\n" );
document.write( "N(3)=3(-5)(-10)<BR>\n" );
document.write( "N(3)=(-15)(-10)<BR>\n" );
document.write( "N(3)=150<BR>\n" );
document.write( " </SPAN>\n" );
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