document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=621223>Question 621223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 22.   Which are upper and lower bounds for the real roots of 3x4 &#8722; 2x3 + x &#8722; 9 = 0? \r<BR>\n" );
document.write( "\n" );
document.write( "A. 0 and 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B. –2 and 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "D. –3 and –1, 1, and 3<BR>\n" );
document.write( " <BR>\n" );
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 #390644 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=390644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 22. Which are upper and lower bounds for the real roots of 3x4 &#8722; 2x3 + x &#8722; 9 = 0? <BR>\n" );
document.write( "A. 0 and 3 <BR>\n" );
document.write( "B. –2 and 2 <BR>\n" );
document.write( "D. –3 and –1, 1, and 3<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Using rational roots theorem\r<BR>\n" );
document.write( "\n" );
document.write( "...0...|....3........-2.........0........1........-9.....<BR>\n" );
document.write( "...1...|....3.........1.........1.........2........-7........<BR>\n" );
document.write( "...2...|....3.........4.........8.........17.......25.... (2 is upper bound, all numbers>0)<BR>\n" );
document.write( "==========================\r<BR>\n" );
document.write( "\n" );
document.write( "...0...|....3........-2.........0.........1.........-9.....<BR>\n" );
document.write( ".-1...|....3........-5.........5.......-4.........-5.....<BR>\n" );
document.write( ".-2...|....3........-8........16......-31........53....(-2 is lower bound, numbers alternate in sign)<BR>\n" );
document.write( "ans: B. -2 and 2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );