document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=21699>Question 21699</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial equation by factoring and then using the zero product principle.    3x to the 4th power minus 75x to the second power = 0. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #10467 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=10467\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by factoring:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E4+-+75x%5E2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E4+-+75x%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor out 3x^2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%28x%5E2+-+25%29+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2%28x%5E2+-+25%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > Apply the zero product principle.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+25+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+25+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2+=+0 ALIGN=MIDDLE  ALT=\"3x%5E2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then, x = 0<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+-+25+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+-+25+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+25 ALIGN=MIDDLE  ALT=\"x%5E2+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and x = +5 or x = -5\r<BR>\n" );
document.write( "\n" );
document.write( "The roots are:<BR>\n" );
document.write( "x = 0 A double root.<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "x = -5 \r<BR>\n" );
document.write( "\n" );
document.write( "Here's what the graph looks like.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-7%2C7%2C-500%2C10%2C3x%5E4-75x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-7%2C7%2C-500%2C10%2C3x%5E4-75x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );