document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008060>Question 1008060</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a polynomial of the specified degree that satisfies the given conditions.\r<BR>\n" );
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document.write( "Degree 4;    zeros &#8722;1, 0, 4, 1/4 ;   coefficient of x3 is 13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623942 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=623942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Degree <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >;    <BR>\n" );
document.write( "zeros: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=-1 ALIGN=MIDDLE  ALT=\"x%5B1%5D=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=0 ALIGN=MIDDLE  ALT=\"x%5B2%5D=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B3%5D=+4 ALIGN=MIDDLE  ALT=\"x%5B3%5D=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B4%5D=+1%2F4 ALIGN=MIDDLE  ALT=\"x%5B4%5D=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "coefficient of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13 ALIGN=MIDDLE  ALT=\"13\"   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=f%28x%29=ax%5E4%2B13x%5E3%2Bcx%5E2%2Bdx%2Be ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E4%2B13x%5E3%2Bcx%5E2%2Bdx%2Be\"   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=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29=0 ALIGN=MIDDLE  ALT=\"%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29=0\"   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=%28x%2B1%29%28x-0%29%28x-4%29%28x-1%2F4%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x-0%29%28x-4%29%28x-1%2F4%29=0\"   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=%28x%5E2%2Bx%29%28x-4%29%28x-1%2F4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29%28x-4%29%28x-1%2F4%29=0\"   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=%28x%5E3%2Bx%5E2-4x%5E2-4x%29%28x-1%2F4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3%2Bx%5E2-4x%5E2-4x%29%28x-1%2F4%29=0\"   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=%28x%5E3-3x%5E2-4x%29%28x-1%2F4%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E3-3x%5E2-4x%29%28x-1%2F4%29=0\"   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=x%5E4-3x%5E3-4x%5E2+++-%281%2F4%29x%5E3%2B3x%5E2%281%2F4%29%2B4%281%2F4%29x=0 ALIGN=MIDDLE  ALT=\"x%5E4-3x%5E3-4x%5E2+++-%281%2F4%29x%5E3%2B3x%5E2%281%2F4%29%2B4%281%2F4%29x=0\"   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=x%5E4-3x%5E3+-x%5E3%2F4%2B3x%5E2%2F4-4x%5E2%2Bx=0 ALIGN=MIDDLE  ALT=\"x%5E4-3x%5E3+-x%5E3%2F4%2B3x%5E2%2F4-4x%5E2%2Bx=0\"   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=x%5E4-12x%5E3%2F4+-x%5E3%2F4%2B3x%5E2%2F4-16x%5E2%2F4%2Bx=0 ALIGN=MIDDLE  ALT=\"x%5E4-12x%5E3%2F4+-x%5E3%2F4%2B3x%5E2%2F4-16x%5E2%2F4%2Bx=0\"   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=x%5E4-13x%5E3%2F4+-13x%5E2%2F4%2Bx=0 ALIGN=MIDDLE  ALT=\"x%5E4-13x%5E3%2F4+-13x%5E2%2F4%2Bx=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....multiply all terms by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   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=4x%5E4-4%2813x%5E3%29%2F4-4%2813x%5E2%29%2F4%2B4x=0 ALIGN=MIDDLE  ALT=\"4x%5E4-4%2813x%5E3%29%2F4-4%2813x%5E2%29%2F4%2B4x=0\"   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=4x%5E4-13x%5E3-13x%5E2%2B4x=0 ALIGN=MIDDLE  ALT=\"4x%5E4-13x%5E3-13x%5E2%2B4x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "so, your polynomial is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4x%5E4-13x%5E3-13x%5E2%2B4x ALIGN=MIDDLE  ALT=\"f%28x%29=4x%5E4-13x%5E3-13x%5E2%2B4x\"   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=+graph%28+600%2C+600%2C+-5%2C+5%2C+-10%2C+10%2C4x%5E4-13x%5E3-13x%5E2%2B4x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+5%2C+-10%2C+10%2C4x%5E4-13x%5E3-13x%5E2%2B4x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );