document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203695>Question 203695</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618643103/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find all the rational zeros of the function h(x)=3x^5+2x^4-3x-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153678 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=153678\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the rational zeros of the function h(x)=3x^5+2x^4-3x-2<BR>\n" );
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document.write( "The coefficients add up to zero so x=1 is a root.<BR>\n" );
document.write( "Use synthetic division to find the other roots.<BR>\n" );
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document.write( "1)....3....2....-3....-2<BR>\n" );
document.write( ".......3....5.....2...|..0\r<BR>\n" );
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document.write( "Quotient: 3x^2 + 5x + 2<BR>\n" );
document.write( "Find the zeroes:<BR>\n" );
document.write( "3x^2+3x + 2x+2 = 0<BR>\n" );
document.write( "3x(x+1) + 2(x+1) = 0<BR>\n" );
document.write( "(x+1)(3x+2) = 0<BR>\n" );
document.write( "x = -1 or x = -2/3 or x = 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );