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You are an Architecture student and your final requirement is to design a swimming pool that has a volume of (2x3 – 13x2 + 13x + 10) cubic feet. In order to design the pool, you have to find its dimensions in terms of (x – c) and prove that the dimensions you will get are the exact dimensions of the pool.

You are expected to design a swimming pool labelled with the correct dimensions and show proof that the dimensions you will get are the exact dimensions of the pool.