document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1014628>Question 1014628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is it possible for a polynomial function to have no rational zeroes but to have real zeros? If so, give an example. So, I was also confused on the difference between real and rational zeros, does the rational root test have a play? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #630938 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=630938\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Is it possible for a polynomial function to have no rational zeroes but to have real zeros? If so, give an example. So, I was also confused on the difference between real and rational zeros, does the rational root test have a play? <BR>\n" );
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document.write( "sqrt(2) and sqrt(3) are Real but not Rational numbers.<BR>\n" );
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document.write( "y = (x-sqrt(2))(x-sqrt(3))<BR>\n" );
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document.write( "y = x^2 -(sqrt(2)+sqrt(3))x + sqrt(6)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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