document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454986>Question 454986</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with the following problem:\r<BR>\n" );
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document.write( "Sketch the graph of f(x)=(x-1)^3(x+2)^2(x-3). What is the behavior of f near each zero? What is the end-behavior of f itself? \r<BR>\n" );
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document.write( "Find intercepts and set up a sign graph.\r<BR>\n" );
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document.write( "Write a polynomial equation of the last possible degree, and leading coefficient one, which has real coefficients, and {2,-2,i} as its zeros.\r<BR>\n" );
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document.write( "Thank you so much. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312382 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=312382\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Sketch the graph of f(x)=(x-1)^3(x+2)^2(x-3).<BR>\n" );
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document.write( "What is the behavior of f near each zero?<BR>\n" );
document.write( "f(0) = (-1)^3*(2^2)*(-3) = 12 <BR>\n" );
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document.write( "What is the end-behavior of f itself?<BR>\n" );
document.write( "The highest value of x is x^6<BR>\n" );
document.write( "As x goes to -oo, y goes to +oo<BR>\n" );
document.write( "As x goes to +oo, y goes to +oo<BR>\n" );
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document.write( "Find intercepts and set up a sign graph.<BR>\n" );
document.write( "Y-int: 12<BR>\n" );
document.write( "x-int: x = 1, x = -2, x = 3<BR>\n" );
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document.write( "Write a polynomial equation of the least possible degree, and leading coefficient one, which has real coefficients, and {2,-2,i} as its zeros.<BR>\n" );
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document.write( "If I is a root, so is -i.<BR>\n" );
document.write( "f(x) = (x-2)(x+2)(x+i)(x-i)<BR>\n" );
document.write( "f(x) = (x^2-4)(x^2+1)<BR>\n" );
document.write( "f(x) = x^4-5x^2-4<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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