PLSSS HELP A box has a volume of 1008 cubic inches. Your friend told you that he found the polynomial that represents the volume of the box: 4x³-28x² +144x. If x is the height of the box how tall is the box?

  7 inches tall

Step-by-step explanation:

A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...

  f(x) = 4x^3 -28x^2 +144x -1008

so f(x) = 0 gives the value of x that is of interest. That value is x=7.

The box is 7 inches tall.

_____

The equation f(x) = 0 can be divided by 4 to give ...

  x^3 -7x^2 +36x -252 = 0

This can be factored by grouping:

  (x^3 -7x^2) +(36x -252) = 0

  x^2(x -7) +36(x -7) = 0

  (x -7)(x^2 +36) = 0

The only real root is x = 7, which makes a factor zero.

ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga ooga booga

step-by-step explanation: