document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286631>Question 286631</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation: 3x^3 - 26x^2 + 33x +14 = 0<BR>\n" );
document.write( "given 2=0 of f(x) = 3x^3 - 26x^2 + 33x + 14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207883 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=207883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the equation: 3x^3 - 26x^2 + 33x +14 = 0<BR>\n" );
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document.write( "I graphed the equation and found a zero at x = 2.<BR>\n" );
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document.write( "Use synthetic division to find the other zeroes:<BR>\n" );
document.write( "2)....3....-26....33....14<BR>\n" );
document.write( "......3....-20....-7...|..0\r<BR>\n" );
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document.write( "Quotient: 3x^2-20x-7 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "3x^2-21x+x-7 = 0<BR>\n" );
document.write( "3x(x-7) + (x-7) = 0<BR>\n" );
document.write( "(x-7)(3x+1) = 0<BR>\n" );
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document.write( "All zeroes: x = 2 or x = 7 or x = -1/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );