document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1126680>Question 1126680</A>: <I><SPAN STYLE=\"word-break: break-all;\">  For the function f(x) = 3x^4- 4x^3 +x^2+ 6x-2<BR>\n" );
document.write( "a. State the degree of the polynomial.<BR>\n" );
document.write( "b. State the number of zeros the polynomial function will have.<BR>\n" );
document.write( " c. Use the Rational Zero Theorem to list all of the possible rational zeros<BR>\n" );
document.write( " d. Use your calculator to determine which numbers in the list of rational zeros are probable rational<BR>\n" );
document.write( "zeros.<BR>\n" );
document.write( " e. Use synthetic division to verify one rational zero.<BR>\n" );
document.write( " f. Use synthetic division or other algebraic methods to find all remaining zeros. List all of the zeros<BR>\n" );
document.write( "of the polynomial function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #743011 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=743011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Possible zeros may be  -1, 1, -1/3, 1/3, -2/3, 2/3, -2, 2.\r<BR>\n" );
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document.write( "Expect up to four zeros, because degree is four.\r<BR>\n" );
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document.write( "Try synthetic division and you will find zeros of -1, and 1/3.<BR>\n" );
document.write( "Factor still to check is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2-6x%2B6 ALIGN=MIDDLE  ALT=\"3x%5E2-6x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which using solution for quadratic equation shows zeros of 1-i and 1+i.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28the_zeros%2C-1%2C1%2F3%2C1-i%2C1%2Bi%29 ALIGN=MIDDLE  ALT=\"system%28the_zeros%2C-1%2C1%2F3%2C1-i%2C1%2Bi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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