document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1058687>Question 1058687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of the cube shown is 8 cubic centimeters.\r<BR>\n" );
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document.write( "Cube image has (x-3)(x-3)(x-3) \r<BR>\n" );
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document.write( "a. Write a polynomial equation that you can use to find the value of x.\r<BR>\n" );
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document.write( "? =0\r<BR>\n" );
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document.write( "b. done\r<BR>\n" );
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document.write( "c. Use synthetic division to find a rational solution of the equation. Show that no other real solutions exist.<BR>\n" );
document.write( "Using synthetic division to divide by the factor  results in a remainder of 0, so 5 is a solution.\r<BR>\n" );
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document.write( "The resulting equation ?=0<BR>\n" );
document.write( " has solutions x=?<BR>\n" );
document.write( " 2 ±?, so there is only one real solution.\r<BR>\n" );
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document.write( "?= answers needed<BR>\n" );
document.write( "Thank you!!!<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 #673783 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=673783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x-3)^3=(x-3)^2*(x-3)<BR>\n" );
document.write( "(x^2-6x+9)(x-3)=x^3-3x^2-6x^2+18x+9x-27=<BR>\n" );
document.write( "x^3-9x^2+27x-27=8<BR>\n" );
document.write( "x^3-9x^2+27x-35=0\r<BR>\n" );
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document.write( "5/1===-9===27===-35<BR>\n" );
document.write( "--1===-4===7====0<BR>\n" );
document.write( "(x-5)(x^2-4x+7), the second has no real solutions. The discriminant, b^2-4ac=16-28=-12<BR>\n" );
document.write( "x=5<BR>\n" );
document.write( "the cube is 2*2*2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-9x%5E2%2B27x-35%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E3-9x%5E2%2B27x-35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a. x^3-9x^2+27x-35=0<BR>\n" );
document.write( "c. 5/1===-9===27===-35<BR>\n" );
document.write( "--1===-4===7====0<BR>\n" );
document.write( "(x-5)(x^2-4x+7), the second has no real solutions. The discriminant, b^2-4ac=16-28=-12<BR>\n" );
document.write( "Solutions: x=2, x=2+/-i*(sqrt(3)<BR>\n" );
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