document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=696202>Question 696202</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"Find the roots of the polynomial equation.\" 2x^3+2x^2-19x+20<BR>\n" );
document.write( "I tried factoring out a 2 but it is uneven. Can I still find the roots and solve the problem even when the x^3 coefficient is two?<BR>\n" );
document.write( "I need this right now ASAP because I have an Alg. 2 final tomorrow, thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428870 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=428870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Start with the Rational Roots Theorem.  If a polynomial equation with integer coefficients has a rational root, then that root must be of the form <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \pm\frac{p}{q}\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE p\"> is a factor of the constant term and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE q\"> is a factor of the lead coefficient.\r<BR>\n" );
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document.write( "Hence your possible rational zeros are:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \pm\frac{1}{2},\ \pm1,\ \pm2,\ \pm\frac{5}{2} ,\ \pm4,\ \pm5,\ \pm10,\ \pm20\">\r<BR>\n" );
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document.write( "Start testing the possible zeros one at a time using Synthetic Division. Review the process for Synthetic Division <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/synthdiv.htm\">here</a> (note: there are 4 pages to review).\r<BR>\n" );
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document.write( "Once you find one that works, you will have one of your binomial factors, and the quotient of the synthetic division will give you a quadratic trinomial that you can solve with the quadratic formula.  Hint: start with -4.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "<font face=\"Math1\" size=\"+2\">Egw to Beta kai to Sigma</font><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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