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Brooke2013

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.

  • one year ago
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  1. Freyes
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    oh you know synthetic divison

    • one year ago
  2. Freyes
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    if you have one of the roots you can divide into the polynomial to get a quadratic and solve that

    • one year ago
  3. Brooke2013
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    No, I really dont know how to do synthetic divison :/

    • one year ago
  4. Freyes
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    Oh ok.

    • one year ago
  5. Freyes
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    well since x + 1 works we should try putting -1 in

    • one year ago
  6. Freyes
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    \[(-1)^{3} - 3(-1)^{2} - (-1) + 3 = 0\]

    • one year ago
  7. mahmit2012
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    c0=f(-1)=0 c1=f'(-1)=8 f_L(x)=8(x+1)

    • one year ago
  8. Brooke2013
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    Which is that for a or b ?

    • one year ago
  9. mahmit2012
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    a+b(x+1) so a=0 and b=8

    • one year ago
  10. mahmit2012
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    or ax+b a=8 and b=8

    • one year ago
  11. Brooke2013
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    I mean there is two questions, question a and b. I needed both of them explained to me.

    • one year ago
  12. Brooke2013
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    on how to find them

    • one year ago
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