## 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.

1. Freyes

oh you know synthetic divison

2. Freyes

if you have one of the roots you can divide into the polynomial to get a quadratic and solve that

3. Brooke2013

No, I really dont know how to do synthetic divison :/

4. Freyes

Oh ok.

5. Freyes

well since x + 1 works we should try putting -1 in

6. Freyes

\[(-1)^{3} - 3(-1)^{2} - (-1) + 3 = 0\]

7. mahmit2012

c0=f(-1)=0 c1=f'(-1)=8 f_L(x)=8(x+1)

8. Brooke2013

Which is that for a or b ?

9. mahmit2012

a+b(x+1) so a=0 and b=8

10. mahmit2012

or ax+b a=8 and b=8

11. Brooke2013

I mean there is two questions, question a and b. I needed both of them explained to me.

12. Brooke2013

on how to find them