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The volume in cubic feet of a workshop's storage chest can be expressed as the product of it's three dimensions: V(x) = x^3 - 3x^2 - x +3. The depth is x + 1 Help find a.) Find linear expression with integer coefficients for the other dimensions. b.) If the depth of the chest is 6 feet, what are the other dimensions. Please Help me and show your work.

Algebra
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first we could begin with synthetic division
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the other dimensions a) x - 1 b) x - 3

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Other answers:

then if depth is 6, so x + 1 = 6 x = 5 the other dimensions would be: x - 1 replace 5 - 1 = 4 x - 3 replace 5 - 3 = 2
well It was a pleasure to help you Saludos desde PerĂº
Thank you :)

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