document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199449>Question 199449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that the given values of c are zeros of P (x), and find all other zeros of P (x). <BR>\n" );
document.write( "P (x) = 2x^4 - 5x^3 - 24x^2 - 7^x + 10; c = 1/2, -2 \r<BR>\n" );
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document.write( "Thank you for the homework help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149869 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=149869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I assume you meant <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E4+-+5x%5E3+-+24x%5E2+-+7x+%2B+10 ALIGN=MIDDLE  ALT=\"2x%5E4+-+5x%5E3+-+24x%5E2+-+7x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You are told two roots are -2 and 1/2\r<BR>\n" );
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document.write( "First use this URL --> http://www.calc101.com/webMathematica/long-divide.jsp#topdoit<BR>\n" );
document.write( "Divide the given polynomial by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2 ALIGN=MIDDLE  ALT=\"x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a factor means -2 is a solution.\r<BR>\n" );
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document.write( "That yields a result with no remainder. So, x-2 is in fact a root.\r<BR>\n" );
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document.write( "Now take the result from this division and divide that by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+1%2F2 ALIGN=MIDDLE  ALT=\"x+-+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That also divides without a remainder. Take the quotient of that division, which is a quadratic, and solve it using the methods you have already learned. (factoring, quadratic equation, etc) </SPAN>\n" );
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