document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=90245>Question 90245</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the Intermediate Value Theorem to determine if P(x) = 2x^5 - 7x +1 has a zero in the intervals [1,2]. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #65500 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=65500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29 ALIGN=MIDDLE  ALT=\"f%281%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=f%28x%29=2x%5E5-7x%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29=2x%5E5-7x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given polynomial\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=2%281%29%5E5-7%281%29%2B1 ALIGN=MIDDLE  ALT=\"f%281%29=2%281%29%5E5-7%281%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   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%281%29=2%281%29-7%281%29%2B1 ALIGN=MIDDLE  ALT=\"f%281%29=2%281%29-7%281%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 1 to the fifth power to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=2-7%281%29%2B1 ALIGN=MIDDLE  ALT=\"f%281%29=2-7%281%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 by 1 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=2-7%2B1 ALIGN=MIDDLE  ALT=\"f%281%29=2-7%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 7 by 1 to get 7\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%281%29=-4 ALIGN=MIDDLE  ALT=\"f%281%29=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Now let's evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29 ALIGN=MIDDLE  ALT=\"f%282%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=f%28x%29=2x%5E5-7x%2B1 ALIGN=MIDDLE  ALT=\"f%28x%29=2x%5E5-7x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given polynomial\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=2%282%29%5E5-7%282%29%2B1 ALIGN=MIDDLE  ALT=\"f%282%29=2%282%29%5E5-7%282%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <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;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=2%2832%29-7%282%29%2B1 ALIGN=MIDDLE  ALT=\"f%282%29=2%2832%29-7%282%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 2 to the fifth power to get 32\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=64-7%282%29%2B1 ALIGN=MIDDLE  ALT=\"f%282%29=64-7%282%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2 by 32 to get 64\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=64-14%2B1 ALIGN=MIDDLE  ALT=\"f%282%29=64-14%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 7 by 2 to get 14\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=51 ALIGN=MIDDLE  ALT=\"f%282%29=51\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now combine like terms\r<BR>\n" );
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document.write( "Since our y-value changes from a negative value to a positive value in the interval [1,2] this means there is a zero in this interval. </SPAN>\n" );
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