document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128515>Question 128515</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I was wondering if anyone could help me with a polynomial function.<BR>\n" );
document.write( "It says to find all the real zeros.<BR>\n" );
document.write( "f(x)= 2x^4 -2x^2 -40<BR>\n" );
document.write( "2(x^4 -x^2 -20) = 0<BR>\n" );
document.write( "2(x^2 -5)(x^2 +4) = 0\r<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 #94043 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=94043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello, I was wondering if anyone could help me with a polynomial function.<BR>\n" );
document.write( "It says to find all the real zeros.<BR>\n" );
document.write( "f(x)= 2x^4 -2x^2 -40<BR>\n" );
document.write( "2(x^4 -x^2 -20) = 0<BR>\n" );
document.write( "Divide both sides by 2 to get:<BR>\n" );
document.write( "(x^2 -5)(x^2 +4) = 0<BR>\n" );
document.write( "Since the product is zero one of those factors must be zero:<BR>\n" );
document.write( "x^2 = 5 or x^2 = -4<BR>\n" );
document.write( "x = sqrt5 or x = -sqrt5<BR>\n" );
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document.write( "x^2 cannot be -4 if x is a Real Number.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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