The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x − 16. The length of the box is x + 2, while the height is x + 8. Find the expression representing the width of the box.

Question

jhonyy9 · Answer

you need to know formula for volume of a rectangular prisme - do you know ?

supie · Answer

$$V=volume$$$$L=length$$$$W=width$$$$H=hight$$

$$V=L*W*H$$

Values of Length and width

$$L=(x+2)$$$$H=(x+8)$$

Roots$$x = -8$$$$x = -2$$$$x = 1$$ $$V=x^3 + 9x^2 + 6x − 16$$ Using what is above ^ <that, $$V= x^3 + 9x^2 + 6x − 16 = (x+8)(x+2)*(x-1)$$

I think that's right 🤔

darkknight · Answer

L = (x+2)
H=(x+8)
W = ???

V = x^3+9x^2+6x-16
L(H)W = (x+8)(x+2)W

v = LHW

x^3+9x^2+6x-16 = (x+8)(x+2)(W)
W = (x^3+9x^2+6x-16)/((x+8)(x+2))
W = ???