document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=953542>Question 953542</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The function f is a fifth-degree polynomial with <BR>\n" );
document.write( "the x-intercepts -4, 1, and 7, <BR>\n" );
document.write( "y-intercept 112 and <BR>\n" );
document.write( "f (x) &#8805; 0 for x &#8804; 7\r<BR>\n" );
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document.write( "I know it would have to have (x+4)(x-1)(x+7) and possibly either squared or cubics for exponents but I am confused about how I would insert the 112 and the f (x) &#8805; 0 for x &#8804; 7. I don't understand what those last two are asking me to do to make it true.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582350 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=582350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The function f is a fifth-degree polynomial with<BR>\n" );
document.write( "the x-intercepts -4, 1, and 7,<BR>\n" );
document.write( "y-intercept 112 and<BR>\n" );
document.write( "f (x) &#8805; 0 for x &#8804; 7 <BR>\n" );
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document.write( "We have the three factors (x+4)(x-1)(x-7), the y intercept 4 * 1 * 7 = 28 not 112.<BR>\n" );
document.write( "28 goes into 112 4 times so lets change the factors to (x+4)(x-1)(4x-28)<BR>\n" );
document.write( "4x + 28 = 0; x still equal -7<BR>\n" );
document.write( "but now we can construct the equation<BR>\n" );
document.write( "FOIL(x+4)(x-1) = x^2 + 3x - 4 <BR>\n" );
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document.write( "x^2 + 3x - 4<BR>\n" );
document.write( " X (4x - 28)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "4x^3 - 16x^2 - 100x + 112 but this only a third degree equation but satisfies the requirements<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-200%2C+250%2C+4x%5E3+-+16x%5E2+-+100x+%2B+112%2C+112%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Green line is y=112  </SPAN>\n" );
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