anonymous
  • anonymous
Ill give medals and become a fan :)))! rectangular blocks of limetstone are to be cut up and used to build the front entrance of a new hotel. The volume V, in cubic metres of each block can be modelled by the function V(x) = 2x^3+7x^2+2x-3 a) Determine the dimensions of the blocks in terms of x Okay so i tried this question and I thought i was supposed to synthetically divide so I got (2x+6)(x+1)(x-0.5) = v(x) however the back of the book tells me the answer is (x-3)(x-2)(x+1) Where did I go wrong? Was I not supposed to synthetically divide?
Mathematics
jamiebookeater
  • jamiebookeater
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mathstudent55
  • mathstudent55
What did you divide the polynomial by?
mathstudent55
  • mathstudent55
|dw:1434566422203:dw|
mathstudent55
  • mathstudent55
|dw:1434566613100:dw|

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mathstudent55
  • mathstudent55
\(v(x) = (x + 1)(2x^2 + 5x - 3)\) Now factor the quadratic: \(v(x) = (x + 1)(2x - 1)(x + 3) \)
mathstudent55
  • mathstudent55
Your answer is correct. If you factor 2 out of the factor 2x + 6, and you multiply that 2 by your factor x - 0.5, you'll get exactly the answer I got. You must have looked up the solution to another problem, or the book has an error.

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