document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135335>Question 135335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the following questions.\r<BR>\n" );
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document.write( "Question1.\r<BR>\n" );
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document.write( "If (x-k) is a factor of the polynomial f(x) = 4x3 – (3k + 2)x2 – (k2 - 1)x  + 3, where k is a constant, find the possible values of k.\r<BR>\n" );
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document.write( "Question2.\r<BR>\n" );
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document.write( "A polynomial p(x) is of the form p(x) = ax2 + bx + c , where a, b, c, m, and k are mx + k constants. If the truth set of p(x) = 0 is {1, 2} find the values of a, b and c.\r<BR>\n" );
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document.write( "Question3.\r<BR>\n" );
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document.write( "Find all the possible solutions of x in the equation x3 + 27 = 0, where x is a complex number.\r<BR>\n" );
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document.write( "Question5.\r<BR>\n" );
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document.write( "7.	(i) Given the complex numbers z1 = 3i;  z2 = 2 + 4i;  z3 = 5 – 3i. <BR>\n" );
document.write( "Express  z1z2 + z2z3 + z3z1 , in the form x + iy where x and y are real numbers.<BR>\n" );
document.write( "                      z1 +  z2 + z3<BR>\n" );
document.write( "     (ii) Given that cos5&#1256; + isin&#1256; equals (cos5&#1256; + isin&#1256;)5, show that<BR>\n" );
document.write( "         sin5&#1256; = 16cos4&#1256; - 12cos2&#1256; + 1, where &#1256; is real and is not an integral multiples of &#960;. <BR>\n" );
document.write( "          sin&#1256;\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99160 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=99160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use synthetic division. At the end, you get k - 2k^2 and 3 ... These must sum to zero for x - k to be a factor.<BR>\n" );
document.write( "3 + k - 2k^2 = 0<BR>\n" );
document.write( "(3 - 2k)(1 + k) = 0<BR>\n" );
document.write( "3 - 2k = 0 and 1 + k = 0<BR>\n" );
document.write( "3/2 = k and k = -1\r<BR>\n" );
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document.write( "You would have to explain question (2) better.\r<BR>\n" );
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document.write( "x^3 = -27<BR>\n" );
document.write( "x = -3 .. no complex values unless 0i - 3\r<BR>\n" );
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document.write( "Just multiply those out for (5)\r<BR>\n" );
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document.write( "I think Euler's equation might help for (ii) or the precalc version. It's been a long time since that. </SPAN>\n" );
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