document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=550130>Question 550130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when<BR>\n" );
document.write( "divided by (x - 4) leaves the same reminder. What is<BR>\n" );
document.write( "the value of a? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358583 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=358583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The polynomials (ax^3 + 3x^2 - 3) and (2x^3 - 5x + a) when<BR>\n" );
document.write( "divided by (x - 4) leaves the same reminder. What is<BR>\n" );
document.write( "the value of a?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Using the Remainder Theorem which states: When a polynomial is divided by (x-a) the  remainder=f(a).<BR>\n" );
document.write( ".. <BR>\n" );
document.write( "Since given equations result in the same remainder when divided by (x-4), set f(4)1=f(4)2.<BR>\n" );
document.write( "f(4)1=ax^3 + 3x^2 - 3=64a+48-3<BR>\n" );
document.write( "f(4)2=2x^3 - 5x + a=128-20+a<BR>\n" );
document.write( "64a+48-3=128-20+a<BR>\n" );
document.write( "63a=63<BR>\n" );
document.write( "a=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );