document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973472>Question 973472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you help me factor the polynomial t2 + 4z2 and explain how it's done?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595651 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you help me factor the polynomial t2 + 4z2 and explain how it's done?<BR>\n" );
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document.write( "That's not factorable, it's prime.<BR>\n" );
document.write( "Most polynomials are prime, ie, they cannot be factored using integers.<BR>\n" );
document.write( "eg, x^2 + 4, x^2 + 5, etc.  x^2 + k if k is positive is prime.<BR>\n" );
document.write( "Saying x^2 + 5 = (x + isqrt(5))*(x - isqrt(5)) implies that there are no prime polynomials.<BR>\n" );
document.write( "PS  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i+=+sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"i+=+sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A sum of 2 squares cannot be factored in general.<BR>\n" );
document.write( "A difference of 2 squares can be. </SPAN>\n" );
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