document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099266>Question 1099266</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) Factor the Polynomial Completely\r<BR>\n" );
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document.write( "P(x)= 81x^4 -625\r<BR>\n" );
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document.write( "B) Find all its zeros. State the multiplicity of each zero. (order your answers from smallest to largest real, followed by complex answers ordered smallest to largest real part, then smallest to largest imaginary part) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #713701 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=713701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 81x^4-625<BR>\n" );
document.write( "this is a difference of squares<BR>\n" );
document.write( "(9x^2+25)(9x^2-25)=0<BR>\n" );
document.write( "The second is a difference of squares<BR>\n" );
document.write( "(9x^2+25)(3x+5)(3x-5)=0<BR>\n" );
document.write( "the real roots are -5/3, +5/3<BR>\n" );
document.write( "the complex roots are x^2=-25/9 so x=+/- i (5/3), so -i (5/3),+ i (5/3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-700%2C200%2C81x%5E4-625%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-700%2C200%2C81x%5E4-625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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