Question

PLEAZE HELP IM FAILING THIS CLASS 9) The volume of a box is represented by x' +11x² + 20x – 32. The width of the box is x – 1, and

the height is x + 8. Find the expression representing the length of the box.

Answer 1

Explanation:

Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³

the width is x-1 and the height is x+8

Find an expression for the length

Vol = LWH solve L

Vol / (WH) = L so

L = (x³ +11x² + 20x – 32) / (x-1) (x+8)

so it would help to factor the numerator

(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors

but I will plot the equation to find the three roots

(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)

L = (x³ +11x² + 20x – 32) / (x-1) (x+8)

= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving

L = (x + 4)