document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155519>Question 1155519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) Find all zeros of the polynomial algebraically <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+ ALIGN=MIDDLE  ALT=\"+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "b) Then write the polynomial in factored form.<BR>\n" );
document.write( "c) Sketch the graph of P(x) showing all real zeros, y-intercept, and end behavior.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778119 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=778119\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Find all zeros of the polynomial algebraically \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+ ALIGN=MIDDLE  ALT=\"+P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) Then write the polynomial in factored form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36 ALIGN=MIDDLE  ALT=\"P%28x%29=18x%5E4-21x%5E3-81x%5E2%2B84x%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29+=+3+%286+x%5E4+-+7+x%5E3+-+27+x%5E2+%2B+28+x+%2B+12%29 ALIGN=MIDDLE  ALT=\"P%28x%29+=+3+%286+x%5E4+-+7+x%5E3+-+27+x%5E2+%2B+28+x+%2B+12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3++%286+x%5E4+%2B+5+x%5E3+%2B17+x%5E2+-+6x-12x%5E3-10x%5E2-34x%2B12%29+ ALIGN=MIDDLE  ALT=\"P%28x%29=3++%286+x%5E4+%2B+5+x%5E3+%2B17+x%5E2+-+6x-12x%5E3-10x%5E2-34x%2B12%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3++%28%286+x%5E4+-12x%5E3%29%2B+%285+x%5E3-10x%5E2%29+%2B+%2817+x%5E2-34x%29+-+%286x-12%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3++%286x%5E3%28x+-2%29%2B+5x%5E2%28x-2%29+%2B+17x%28+x-2%29+-6+%28x-2%29%29+ ALIGN=MIDDLE  ALT=\"P%28x%29=3++%286x%5E3%28x+-2%29%2B+5x%5E2%28x-2%29+%2B+17x%28+x-2%29+-6+%28x-2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29%286+x%5E3+%2B+5+x%5E2+-+17+x+-+6%29+ ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29%286+x%5E3+%2B+5+x%5E2+-+17+x+-+6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%286+x%5E3+%2B12+x%5E2-7x%5E2+-+14+x-3x+-+6%29+ ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%286+x%5E3+%2B12+x%5E2-7x%5E2+-+14+x-3x+-+6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28%286+x%5E3+%2B12+x%5E2%29-%287x%5E2+%2B+14+x%29-%283x+%2B+6%29%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28%286+x%5E3+%2B12+x%5E2%29-%287x%5E2+%2B+14+x%29-%283x+%2B+6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%286x%5E2%28+x+%2B2+%29-7x%28x+%2B+2%29-3%28x+%2B+2%29%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%286x%5E2%28+x+%2B2+%29-7x%28x+%2B+2%29-3%28x+%2B+2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%286x%5E2-7x-3%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%286x%5E2-7x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%286x%5E2%2B2x-9x-3%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%286x%5E2%2B2x-9x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%28%286x%5E2%2B2x%29-%289x%2B3%29%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%28%286x%5E2%2B2x%29-%289x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%282x%283x%2B1%29-3%283x%2B1%29%29 ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28+x+%2B2+%29%282x%283x%2B1%29-3%283x%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=3+%28x+-+2%29+%28x+%2B+2%29+%282x+-+3%29+%283x+%2B+1%29+ ALIGN=MIDDLE  ALT=\"P%28x%29=3+%28x+-+2%29+%28x+%2B+2%29+%282x+-+3%29+%283x+%2B+1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "zeros:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+2%29=0 ALIGN=MIDDLE  ALT=\"%28x+-+2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29=0 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x+-+3%29=0 ALIGN=MIDDLE  ALT=\"%282x+-+3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%2F2 ALIGN=MIDDLE  ALT=\"x=3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+%2B+1%29=0 ALIGN=MIDDLE  ALT=\"%283x+%2B+1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1%2F3 ALIGN=MIDDLE  ALT=\"x=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) Sketch the graph of P(x) showing all real zeros, y-intercept, and end behavior. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+5%2C+-50%2C+50%2C+3+%28x+-+2%29+%28x+%2B+2%29+%282x+-+3%29+%283x+%2B+1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );