document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058365>Question 1058365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Describe the behavior of the graph at the x-intercepts for the function f(x)=(2x-7)^7(x+3)^4. Be sure to identify each x-intercept and justify your answer.\r<BR>\n" );
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document.write( "2. Use the Remainder Theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5-7x^3-11x^2+2.\r<BR>\n" );
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document.write( "3. Find all the zeroes of the polynomial function f(x)=x^3-5x^2+6x-30. If you use synthetic division, show all three lines of numbers.\r<BR>\n" );
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document.write( "Thank you so much!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #673405 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=673405\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=(2x-7)^7(x+3)^4<BR>\n" );
document.write( "When y=0, (2x-7)^7=0 and x=3.5 OR<BR>\n" );
document.write( "(x+3)^4=0, and x=-3<BR>\n" );
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document.write( "Look at x=h or f(2)<BR>\n" );
document.write( "That is 96-56-44+2 and it is not equal to 0. (x-2) is not a factor.<BR>\n" );
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document.write( "x^3-5x^2+6x-30<BR>\n" );
document.write( "after trying 1,2, and 3, I tried 5<BR>\n" );
document.write( "5/1===-5===6===-30<BR>\n" );
document.write( "==1===0====6====30<BR>\n" );
document.write( "(x^2-6) with no remainder<BR>\n" );
document.write( "the factors are (x-5)(x^2+6)<BR>\n" );
document.write( "the zeroes are 5, +/- i sqrt (6).  Only one real 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-100%2C100%2Cx%5E3-5x%5E2%2B6x-30%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-100%2C100%2Cx%5E3-5x%5E2%2B6x-30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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