document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=64288>Question 64288</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f(x)=(x+1)^3(2x+3)(2-x)^2 <BR>\n" );
document.write( "determine the degree of f(x)<BR>\n" );
document.write( "what are the zeros of f(x)\r<BR>\n" );
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document.write( "help help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44926 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=44926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given expression is: \r<BR>\n" );
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document.write( "f(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%5E3+%282x+%2B+3%29%282+-+x%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%5E3+%282x+%2B+3%29%282+-+x%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This can be written as:\r<BR>\n" );
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document.write( "f(x) = (x+1)(x+1)(x+1)(2x+3)(2-x)(2-x) --------------(EQN 2) \r<BR>\n" );
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document.write( "So, on multiplying the given expression it can be writtne as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3+%2B+3x%5E2+%2B+3x+%2B+1%29%282x+%2B+3%29%28x%5E2+-+4x+%2B+4%29 ALIGN=MIDDLE  ALT=\"%28x%5E3+%2B+3x%5E2+%2B+3x+%2B+1%29%282x+%2B+3%29%28x%5E2+-+4x+%2B+4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "This can be simplified and reduced and written as: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E6+%2B+x%5E5+-+13x%5E4+-+13x%5E3+%2B+19x%5E2+%2B+32x+%2B+12%29 ALIGN=MIDDLE  ALT=\"%282x%5E6+%2B+x%5E5+-+13x%5E4+-+13x%5E3+%2B+19x%5E2+%2B+32x+%2B+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Hence, the highest power of x gives us the degree of the polynomial. \r<BR>\n" );
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document.write( "The degree of f(x) = 6 \r<BR>\n" );
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document.write( "Now, the zeros of this one is obtained by: \r<BR>\n" );
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document.write( "Equating (2) to zero.\r<BR>\n" );
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document.write( "Thus, we find that the zeros of the polynomial are: \r<BR>\n" );
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document.write( "x = -1, -1, -1, -2/3, 2, 2\r<BR>\n" );
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document.write( "Hence, the solution.\r<BR>\n" );
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document.write( "Regards... \r<BR>\n" );
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