document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66300>Question 66300</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the roots of a cubic equation are: x=-5/2, x=1/4 & x=3. Determine this cubic expression by expansion, with these roots. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47021 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=47021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the roots of a cubic equation are: x=-5/2, x=1/4 & x=3. Determine this cubic expression by expansion, with these roots.<BR>\n" );
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document.write( "If those numbers are roots, then:<BR>\n" );
document.write( "x+(5/2)=0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x-(1/4)=0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Which means:<BR>\n" );
document.write( "2x+5=0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "4x-1=0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x-3=0<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Taking the product of these you get:<BR>\n" );
document.write( "(2x+5)(4x-1)(x-3)=0<BR>\n" );
document.write( "(2x^2-2x+20x-5)(x-3)=0<BR>\n" );
document.write( "2x^3-2x^2+20x^2-5x-6x^2+6x-60x+15=0<BR>\n" );
document.write( "2x^3+12x^2-59x+15=0<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );