document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764521>Question 764521</A>: <I><SPAN STYLE=\"word-break: break-all;\">  can you help with this problem please? this is the RATIONAL ROOT THEOREM \r<BR>\n" );
document.write( "\n" );
document.write( "find all zeros of f(x) <BR>\n" );
document.write( "f(x)=x^4-4x^3-7x^2+28x <BR>\n" );
document.write( "Hint: first factor out an x, then get the p/q list <BR>\n" );
document.write( "keep answers in FRACTIONAL form. list your answers from smallest to largest. \r<BR>\n" );
document.write( "\n" );
document.write( "help me please! i don't fully understand this </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465505 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=465505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first factor out the x and we get<BR>\n" );
document.write( "x(x^3-4x^2-7x+28) = 0<BR>\n" );
document.write( "The Rational Root Theorem says we must factor the x^3 coefficient and 28<BR>\n" );
document.write( "The x^3 coefficient is 1 so its factors are + or minus 1, so q could= +or-1<BR>\n" );
document.write( "The factors of 28 are 1,2,4,7,28, so p could = +or-1, +or-2, +or-4, +or-7, +or-28<BR>\n" );
document.write( "so p/q = +or-1/1, +or-2/1, +or-4/1, +or-7/1, +or-28/1\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );