document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=45751>Question 45751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Worker efficiency. In a study of worker efficiency at Wong Laboratories it was found that the number 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(t) = -3t³ +23t² + 8t\r<BR>\n" );
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document.write( "a. Rewrite the formula by factoring the right-hand side completely.\r<BR>\n" );
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document.write( "b. Use the factored version of the formula to find N(3).<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 #30381 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=30381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> N(t) = -3t³ +23t² + 8t<BR>\n" );
document.write( "(-t)(3t² +23t + 8) [Factor out the \"-t\" term]<BR>\n" );
document.write( "(-t)(3t + 1)(t - 8)<BR>\n" );
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document.write( "N(3)= (-t)(3t + 1)(t - 8)<BR>\n" );
document.write( "[-(3)] [(3)(3) + 1][(3) - 8] [Substitute \"3\" for \"t\" and solve]<BR>\n" );
document.write( "(-3)(9 + 1)(3 - 8) <BR>\n" );
document.write( "(-3)(10)(-5)<BR>\n" );
document.write( "(-30)(-5)<BR>\n" );
document.write( "150 [Final answer]<BR>\n" );
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