document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1039370>Question 1039370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help working through this problem. Mostly just B with Descartes law of signs.\r<BR>\n" );
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document.write( "a) Use the RZT Theorem to show the possible rational roots.<BR>\n" );
document.write( "b) Use Descartes law of signs to deduce the possible # of positive and negative roots.<BR>\n" );
document.write( "c) Use synthetic division, polynomial division, or the Remainder Thm to find all the real roots<BR>\n" );
document.write( "1. 2&#119909;^3 + 3&#119909;^2 &#8722; 8&#119909; + 3<BR>\n" );
document.write( "a. _____________________<BR>\n" );
document.write( "b. POS #________________<BR>\n" );
document.write( "b. NEG #________________<BR>\n" );
document.write( "c. _ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #654092 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=654092\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need help working through this problem. Mostly just B with Descartes law of signs.<BR>\n" );
document.write( "1. f(x) = 2&#119909;^3 + 3&#119909;^2 &#8722; 8&#119909; + 3<BR>\n" );
document.write( "f(-x) = -2x^3 + 3x^2 + 8x + 3<BR>\n" );
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document.write( "a) Use the RZT Theorem to show the possible rational roots.<BR>\n" );
document.write( "Factors of 3:: +-1 ; +-3<BR>\n" );
document.write( "Factors of 2:: +-1 ; +-2<BR>\n" );
document.write( "Ans: +-1 ; +-1/2 ; +-3 ; +-3/2<BR>\n" );
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document.write( "b) Use Descartes law of signs to deduce the possible # of positive and negative roots.<BR>\n" );
document.write( "# of positive <= # of sign changes of f(x) = 2<BR>\n" );
document.write( "# of negative <= # of sign changes of f(-x) = 1<BR>\n" );
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document.write( "c) Use synthetic division, polynomial division, or the Remainder Thm to find all the real roots<BR>\n" );
document.write( "1)....2....3....-8....3<BR>\n" );
document.write( "......2....5....-3...|..0\r<BR>\n" );
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document.write( "Solve 2x^2 + 5x -3 = 0<BR>\n" );
document.write( "(2x-1)(x+3) = 0<BR>\n" );
document.write( "Ans: x = 1 or x = 1/2 or x = -3\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------- </SPAN>\n" );
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