document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218695>Question 218695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a fourth degree polynomial equation with integer coefficients that has the given numbers as roots.\r<BR>\n" );
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document.write( "3 + square root of 2 and the square root of 5<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164677 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=164677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a fourth degree polynomial equation with integer coefficients that has the given numbers as roots. <BR>\n" );
document.write( "3 + square root of 2 and the square root of 5<BR>\n" );
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document.write( "f(x) = (x-(3+sqrt(2))(x-(3-sqrt(2))(x-sqrt(5))(x-(-sqrt(5))<BR>\n" );
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document.write( "Modify the factors:<BR>\n" );
document.write( "f(x) = ((x-3)-sqrt(2))((x-3)+sqrt(2))(x-sqrt(5)(x+sqrt(5)<BR>\n" );
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document.write( "f(x) = [(x-3)^2-2][x^2-5]<BR>\n" );
document.write( "f(x) = [x^2-6x+7][x^2-5]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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