document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=321651>Question 321651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.)Factor x² - 4x + 4 – 9y².<BR>\n" );
document.write( "2.)The volume of a rectangular prism is represented by the polynomial 2x3 - 24x2 + 72x.<BR>\n" );
document.write( "(a) Factor the polynomial completely.<BR>\n" );
document.write( "(b) If x represents 8 cm, what are the possible dimensions of the prism?<BR>\n" );
document.write( "(c) Could x represent 5cm?  Explain.<BR>\n" );
document.write( "3.)x4 + 22x2 + 121 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #230327 by </B><A HREF=/tutors/aboutme.mpl?userid=toidayma><B>toidayma(44)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=toidayma><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=toidayma><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=230327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. x² - 4x + 4 – 9y² = (x-2)^2 - (3y)^2 = (x - 2 - 3y)(x - 2 + 3y)<BR>\n" );
document.write( "2. V(x) = 2x3 - 24x2 + 72x<BR>\n" );
document.write( "a. V(x) = 2x(x^2 - 12x^2 + 36) = 2x*(x-6)^2 = 2x*(x-6)*(x-6)<BR>\n" );
document.write( "b. V(x) = 2x*(x-6)*(x-6), this suggests that the three dimensions of the rectangular prism are either {2x, (x-6), and (x-6)} or {x, (x-6) and 2(x-6)}.<BR>\n" );
document.write( "With x = 8, we have two possibility {16, 2, 2) or {8, 2, 4}.<BR>\n" );
document.write( "c. Since (x-6)^2 = (6-x)^2 = (6-x)(6-x), therefore x can represent 5. In this case, the possible dimensions of the prism are {10, 1, 1} or { 5, 2, 1}.<BR>\n" );
document.write( "3. x^4 + 22x^2 + 121 = (x^2 + 11)^2.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );