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Brooke2013

  • 3 years ago

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.

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  1. Freyes
    • 3 years ago
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    oh you know synthetic divison

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

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

  4. Freyes
    • 3 years ago
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    Oh ok.

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

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

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

  8. Brooke2013
    • 3 years ago
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    Which is that for a or b ?

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

  10. mahmit2012
    • 3 years ago
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    or ax+b a=8 and b=8

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

  12. Brooke2013
    • 3 years ago
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    on how to find them

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