document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170010>Question 170010</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help.  Thank You.\r<BR>\n" );
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document.write( "Increasing cube. Each of the three sides of a cube with<BR>\n" );
document.write( "sides of x centimeters is increased by a whole number of<BR>\n" );
document.write( "centimeters. The new volume in cubic centimeters is<BR>\n" );
document.write( "given by<BR>\n" );
document.write( "V(X)= x^3 + 10x^2 + 31x + 30.\r<BR>\n" );
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document.write( "a) Find V(3).\r<BR>\n" );
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document.write( "b) If the new height is x + 2 centimeters, then what are the<BR>\n" );
document.write( "new length and width?\r<BR>\n" );
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document.write( "c) Find the volume when x =3 by multiplying the length,<BR>\n" );
document.write( "width, and height. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125508 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=125508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Increasing cube. Each of the three sides of a cube with<BR>\n" );
document.write( "sides of x centimeters is increased by a whole number of<BR>\n" );
document.write( "centimeters. The new volume in cubic centimeters is<BR>\n" );
document.write( "given by<BR>\n" );
document.write( "V(X)= x^3 + 10x^2 + 31x + 30.<BR>\n" );
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document.write( "a) Find V(3).<BR>\n" );
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document.write( "V(3)= 3^3 + 10(3^2) + 31(3) + 30.<BR>\n" );
document.write( "V(3) = 27 + 90 + 93 + 30<BR>\n" );
document.write( "V(x) = 240 cu/cm<BR>\n" );
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document.write( "b) If the new height is x + 2 centimeters, then what are the<BR>\n" );
document.write( "new length and width?<BR>\n" );
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document.write( "Divide x^3 + 10x^2 + 31x + 30 by (x+2); using synthetic division:<BR>\n" );
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document.write( " -2 | 1 + 10 + 31 + 30<BR>\n" );
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document.write( " you get: x^2 + 8x + 15 as length * width<BR>\n" );
document.write( "Factor this to get the length and the width<BR>\n" );
document.write( "(x + 5)(x + 3)<BR>\n" );
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document.write( "c) Find the volume when x = 3 by multiplying the length, width, and height<BR>\n" );
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document.write( "Just substitute 3 for x in (x+2), (x+5), (x+3)<BR>\n" );
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document.write( "Multiply these these values to find the volume<BR>\n" );
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