document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66344>Question 66344</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131339982/algebrahomeworkh>Algebra 2</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function with rational coefficients in standard form with the given zeroes.<BR>\n" );
document.write( "note i = imaginary\r<BR>\n" );
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document.write( "x = square root of 2, -i\r<BR>\n" );
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document.write( "work so far:\r<BR>\n" );
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document.write( "(x-square root of 2)(x+i)<BR>\n" );
document.write( "xsquared + ix - x(square root of 2) - i(square root of 2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47088 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write a polynomial function with rational coefficients in standard form with the given zeroes.<BR>\n" );
document.write( "note i = imaginary<BR>\n" );
document.write( "x = square root of 2, -i<BR>\n" );
document.write( "work so far:<BR>\n" );
document.write( "(x-square root of 2)(x+i)<BR>\n" );
document.write( "xsquared + ix - x(square root of 2) - i(square root of 2)<BR>\n" );
document.write( "FACTORS ARE <BR>\n" );
document.write( "1.SQRT(2)<BR>\n" );
document.write( "AND ITS CONJUGATE <BR>\n" );
document.write( "2.-SQRT(2)<BR>\n" );
document.write( "SINCE THE COEFFICIENTS OF POLYNOMIAL ARE REAL.<BR>\n" );
document.write( "3.-I<BR>\n" );
document.write( "AND ITS CONJUGATE <BR>\n" );
document.write( "4.+I <BR>\n" );
document.write( "SINCE THE COEFFICIENTS OF POLYNOMIAL ARE REAL.SO EQN.IS<BR>\n" );
document.write( "P(X)=0=[X-SQRT(2)][X+SQRT(2)][X+I][X-I]=[X^2-2][X^2+1]=X^4-X^2-2<BR>\n" );
document.write( "HENCE <BR>\n" );
document.write( "X^4-X^2-2=0 IS THE POLYNOMIAL </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );