document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150660>Question 1150660</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following equation is given<BR>\n" );
document.write( "x^3-3x^2-25x+75x=0<BR>\n" );
document.write( " a List all rational roots that are possible according to the Rational Zero Theorem.<BR>\n" );
document.write( "b. Use synthetic division to test several possible rational roots in order to identify one actual root.<BR>\n" );
document.write( "One rational root of the given equation is_______\r<BR>\n" );
document.write( "\n" );
document.write( " c. Use the root from part ​(b.​) and solve the equation.<BR>\n" );
document.write( "The solution set of  is x^3-3x^2-25x+75x=0 is {  }\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #772068 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=772068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-3x%5E2-25x%2B75x=0 ALIGN=MIDDLE  ALT=\"x%5E3-3x%5E2-25x%2B75x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3-3x%5E2%2B50x=0 ALIGN=MIDDLE  ALT=\"x%5E3-3x%5E2%2B50x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%5E2-3x%2B50%29=0 ALIGN=MIDDLE  ALT=\"x%28x%5E2-3x%2B50%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "0 is obviously one of the roots.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The possible roots to check for the quadratic factor are the positives and negatives of 1,2,5,25,50.<BR>\n" );
document.write( "Try synthetic division.  None of the remainders will be 0. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );