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

Answer:

Step-by-step 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)