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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.
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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Freyes
 3 years ago
Best ResponseYou've already chosen the best response.0oh you know synthetic divison

Freyes
 3 years ago
Best ResponseYou've already chosen the best response.0if you have one of the roots you can divide into the polynomial to get a quadratic and solve that

Brooke2013
 3 years ago
Best ResponseYou've already chosen the best response.0No, I really dont know how to do synthetic divison :/

Freyes
 3 years ago
Best ResponseYou've already chosen the best response.0well since x + 1 works we should try putting 1 in

Freyes
 3 years ago
Best ResponseYou've already chosen the best response.0\[(1)^{3}  3(1)^{2}  (1) + 3 = 0\]

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0c0=f(1)=0 c1=f'(1)=8 f_L(x)=8(x+1)

Brooke2013
 3 years ago
Best ResponseYou've already chosen the best response.0Which is that for a or b ?

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0a+b(x+1) so a=0 and b=8

Brooke2013
 3 years ago
Best ResponseYou've already chosen the best response.0I mean there is two questions, question a and b. I needed both of them explained to me.
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