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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.

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oh you know synthetic divison
if you have one of the roots you can divide into the polynomial to get a quadratic and solve that
No, I really dont know how to do synthetic divison :/

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Other answers:

Oh ok.
well since x + 1 works we should try putting -1 in
\[(-1)^{3} - 3(-1)^{2} - (-1) + 3 = 0\]
c0=f(-1)=0 c1=f'(-1)=8 f_L(x)=8(x+1)
Which is that for a or b ?
a+b(x+1) so a=0 and b=8
or ax+b a=8 and b=8
I mean there is two questions, question a and b. I needed both of them explained to me.
on how to find them

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