document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1200923>Question 1200923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> All the real zeros of the given polynomial are integers. Find the zeros. <BR>\n" );
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document.write( "P(x) = x^4 − 10x^2 + 9\r<BR>\n" );
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document.write( "x =\r<BR>\n" );
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document.write( "Write the polynomial in factored form.\r<BR>\n" );
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document.write( "P(x) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #835147 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52834)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=835147\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "All the real zeros of the given polynomial are integers. Find the zeros. <BR>\n" );
document.write( "(Enter your answers as a comma-separated list. Enter all answers including repetitions.)\r<BR>\n" );
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document.write( "P(x) = x^4 − 10x^2 + 9\r<BR>\n" );
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document.write( "x =\r<BR>\n" );
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document.write( "Write the polynomial in factored form.\r<BR>\n" );
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document.write( "P(x) =\r<BR>\n" );
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document.write( "~~~~~~~~~~~~~~~\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "Make the decomposition / (factoring) in two steps\r\n" );
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document.write( "(1)  x^4 - 10x^2 + 9 = (x^2-9)*(x^2-1)   (as if you factor mentally a quadratic polynomial).\r\n" );
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document.write( "(2)  Next, factor each of the participating quadratic polynomials separately\r\n" );
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document.write( "           x^2 - 10x^2 + 9 = (x^2-9)*(x^2-1) = (x+3)*(x-3)*(x+1)*(x-1).\r\n" );
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document.write( "Done.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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