document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=627991>Question 627991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=x^3-2x^2-13x-10\r<BR>\n" );
document.write( "\n" );
document.write( "Find the real zeros of f.<BR>\n" );
document.write( "x=?\r<BR>\n" );
document.write( "\n" );
document.write( "Use the real zeros to factor f.<BR>\n" );
document.write( "f(x)=? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #395396 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=395396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. <BR>\n" );
document.write( "f(x)=x^3-2x^2-13x-10 <BR>\n" );
document.write( "Find the real zeros of f.<BR>\n" );
document.write( "x=? <BR>\n" );
document.write( "Use the real zeros to factor f.<BR>\n" );
document.write( "f(x)=?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Using rational roots theorem:<BR>\n" );
document.write( "....0....|....1.......-2.......-13........-10...........<BR>\n" );
document.write( "...-1....|....1......-3.......-10..........0 (-1 is a zero)<BR>\n" );
document.write( "f(x)=(x+1)(x^2-3x-10)=(x+1)(x+2)(x-5)<BR>\n" );
document.write( "real zeros of f: -2, -1, & 5)<BR>\n" );
document.write( "f(x)=(x+1)(x+2)(x-5) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );