document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156352>Question 1156352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let p(x) = x^3 - 7x + 6\r<BR>\n" );
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document.write( "(a) Factor p completely [Hint: guess an initial zero and use synthetic division].<BR>\n" );
document.write( "(b) Find the real zeros of p.<BR>\n" );
document.write( "(c) Sketch the graph of p using a sign diagram. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #779154 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=779154\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let p(x) = x^3 - 7x + 6<BR>\n" );
document.write( "try x=-3<BR>\n" );
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document.write( "we have to put a 0 in x^2 slot here<BR>\n" );
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document.write( ". . ._______________<BR>\n" );
document.write( " -3 |1 + 0 - 7 + 6<BR>\n" );
document.write( ". . . . .  - 3 + 9 - 6<BR>\n" );
document.write( ". . . ----------------<BR>\n" );
document.write( ". . . . 1 - 3 + 2 + 0<BR>\n" );
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document.write( "So we have factors (x^2 - 3x + 2)(x + 3)<BR>\n" );
document.write( "further factored (x - 2)(x - 1)(x + 3)<BR>\n" );
document.write( "The zeros of x: 2, 1, -3<BR>\n" );
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document.write( "GRAPHICALLY<BR>\n" );
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document.write( " </SPAN>\n" );
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