document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63055>Question 63055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the real zeros of function f(x)=12x^4+35x^3+144x^2+114x+20\r<BR>\n" );
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document.write( "I already have x= -2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43865 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=43865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the real zeros of function f(x)=12x^4+35x^3+144x^2+114x+20 <BR>\n" );
document.write( "I already have x= -2/3<BR>\n" );
document.write( "Also x=-1/4 is a zero<BR>\n" );
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document.write( "Therefore (4x+1)(3x+2) =12x^2+11x+2 divides f(x)<BR>\n" );
document.write( "Using long division you can find the remaining quotient, which is:<BR>\n" );
document.write( "Quotient: x^2+2x+10<BR>\n" );
document.write( "Use the quadratic formula to find the last two zeroes:<BR>\n" );
document.write( "x=[-2+-sqrt(4-4(10)]/2<BR>\n" );
document.write( "x=[-2+-6i]/2<BR>\n" );
document.write( "x=-1+3i or x=-1-3i<BR>\n" );
document.write( "These are the missing zeroes.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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