document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013304>Question 1013304</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.7 \r<BR>\n" );
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document.write( "Answer the following questions about the equation below:\r<BR>\n" );
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document.write( "12x^3 +53x^2 -34x+5=0\r<BR>\n" );
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document.write( "a. list all rational roots that are possible according to the Rational Zero Theorem:\r<BR>\n" );
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document.write( "b.Use synthetic division to test several possible rational roots. One raitonal root of the given equation is:\r<BR>\n" );
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document.write( "c. use the root from part (b) to solve the equation. The solution set is: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629551 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12x^3 +53x^2 -34x+5=0 <BR>\n" );
document.write( "They are +/- 5,5/2,5/3,5/4,5/6,5/12,1,1/2,1/3,1/4,1/6, 1/12<BR>\n" );
document.write( "Factors of 5 over factors of 12<BR>\n" );
document.write( "12==53==-34+5<BR>\n" );
document.write( "Because 53 is prime, try an integer, and -5 works<BR>\n" );
document.write( "12<BR>\n" );
document.write( "===-60<BR>\n" );
document.write( "====-7<BR>\n" );
document.write( "=======35<BR>\n" );
document.write( "========1<BR>\n" );
document.write( "===========-5<BR>\n" );
document.write( "===========0<BR>\n" );
document.write( "(x+5)(12x^2-7x+1); the latter factors into (4x-1)(3x-1)<BR>\n" );
document.write( "the roots are (-5,+(1/3),+(1/4))<BR>\n" );
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