document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116636>Question 1116636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> consider the polynomial p(x), shown in both standard form and factored form.<BR>\n" );
document.write( "P(x)=1/10 X^4+9/10 X^3+19/10 x^3+19/10 x^2-9/10 x-2=1/10 (x+5)(x+4)(x+1)(x-1)\r<BR>\n" );
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document.write( "a. which sketch illustrates the end behavior of the polynomial function?<BR>\n" );
document.write( "b. state the zeros of the function<BR>\n" );
document.write( "c. state the y-intercept<BR>\n" );
document.write( "d. state the graph of p(x)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731753 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=731753\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The lead coefficient is positive and the polynomial is of even degree, hence the value of the function increases without bound on either end.\r<BR>\n" );
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document.write( "The zeros are the four numbers that would make each of the factors in the factored form equal to zero.\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">-intercept is the point <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (0,b)\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\"> is the constant term of the standard form.\r<BR>\n" );
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document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=solver91311&illustration_name=4thDegPolynomial.jpg\">.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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