The volume in cubic feet of a workshop's storage chest can be expressed as the product of its three dimensions: V(x)=x^(3)-4x^(2)-x+4. The depth is x+1.
a. Find linear expressions with integer coefficients for the other dimensions.
d=(x+1)
b. If the depth of the chest is 7 feet, what are the other dimensions?
length=8

(I have included the parts that I got correct and received half-credit for.)

Question

The volume in cubic feet of a workshop's storage chest can be expressed as the product of its three dimensions: V(x)=x^(3)-4x^(2)-x+4.  The depth is x+1.
a. Find linear expressions with integer coefficients for the other dimensions.
d=(x+1)
b. If the depth of the chest is 7 feet, what are the other dimensions?
length=8

(I have included the parts that I got correct and received half-credit for.)

anonymous · Answer

hi, yeah, sorry.  Try this to find a

(x+1)(Ax^2+Bx+C) = x^3 - 4x^2-x+4

anonymous · Answer

does that make sense?

anonymous · Answer

I see it, but i don't understand how that would help me solve this problem.

campbell_st · Answer

well I'd use a little polynomial division or synthetic division to get the base area... 

|dw:1381731246738:dw|

so base area times height is 

$$V= (x +1)(x^2 -5x + 4)$$

factor the quadratic for the dimensions of the base...