document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=620136>Question 620136</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is a polynomial with a single root at x=-3 and a double root at x=4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #390033 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=390033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there--<BR>\n" );
document.write( ".<BR>\n" );
document.write( "You can write the polynomial in factored form since you know the roots.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "If x=-3 is a root, then x+3=0 and x+3 is a factor of the polynomial.<BR>\n" );
document.write( "If x=4 is a root, then x-4=0 and x-4 is a factor of the polynomial. Since this is a double root, there are two factors of (x-4).<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x%2B3%29%28x-4%29%28x-4%29 ALIGN=MIDDLE  ALT=\"y+=+%28x%2B3%29%28x-4%29%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "We can also multiply this out.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B3%29%28x%5E2-8x%2B16%29 ALIGN=MIDDLE  ALT=\"y=%28x%2B3%29%28x%5E2-8x%2B16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3-8x%5E2%2B16x%2B3x%5E2-24x%2B48 ALIGN=MIDDLE  ALT=\"y=x%5E3-8x%5E2%2B16x%2B3x%5E2-24x%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3-5x%5E2-8x%2B48 ALIGN=MIDDLE  ALT=\"y=x%5E3-5x%5E2-8x%2B48\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Hope this helps! Feel free to email if you have still questions about this.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ms.Figgy<BR>\n" );
document.write( "math.in.the.vortex@gmail.com<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );