document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255055>Question 255055</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The volume of a rectangle prism is represented by the expression 6x^3-7x^2-x-2 . the length is  2x-1 find expressions to represent the width and height of the prism \r<BR>\n" );
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document.write( "a) x and 3x-2  b) 3x-2 and x-1   c) x and 3x+2   d) 3x+2 and x+1<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 #187356 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The volume of a rectangle prism is represented by the expression 6x^3-7x^2-x-2 . the length is 2x-1 find expressions to represent the width and height of the prism<BR>\n" );
document.write( "a) x and 3x-2 b) 3x-2 and x-1 c) x and 3x+2 d) 3x+2 and x+1\r<BR>\n" );
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document.write( "First off this should be 6x^3+7x^2-x-2.\r<BR>\n" );
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document.write( "2x-1 into 6x^3 - 7x^2 - x -2 --> 3x^2<BR>\n" );
document.write( " subtract 6x^3 - 3x^2<BR>\n" );
document.write( "2x-1 into      - 4x^2 - x -2 --> -2x<BR>\n" );
document.write( " subtract      - 4x^2 +2x<BR>\n" );
document.write( "2x-1 into             -3x -2 --> -3/2<BR>\n" );
document.write( " subtract             -3x + 3/2 <BR>\n" );
document.write( "as you can see this leaves a remainder (well if they insist on original expression just choose none of the above cause none of the answers will neatly work)\r<BR>\n" );
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document.write( "2x-1 into 6x^3 + 7x^2 -x -2 --> 3x^2<BR>\n" );
document.write( " subtract 6x^3 - 3x^2<BR>\n" );
document.write( "2x-1 into       10x^2 -x -2 --> 5x<BR>\n" );
document.write( " subtract       10x^2 -5x<BR>\n" );
document.write( "2x-1 into             4x -2 --> 2\r<BR>\n" );
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document.write( "so what factors 3x^2+5x+2 ?<BR>\n" );
document.write( "(3x+2)(x+1) = 3x^2+2x+3x+2 = 3x^2+5x+2\r<BR>\n" );
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document.write( "so answer is d\r<BR>\n" );
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