Problem A: The volume in cubic units of the box is x3 – 6x2 + 11x – 6 . Its length is (x-1) and its width is x – 2. What is its height?

Answer 1

Volume (for a box) = length times width time height so

x³ – 6x² + 11x – 6 = (x - 1)*(x – 2)*h so h = (x³ – 6x² + 11x – 6)/((x - 1)*(x – 2))

I assume you've been learning how to divide polynomials. So, to figure this out, first divide x³ – 6x² + 11x – 6 by x - 1, then divide the answer you get by x - 2 and the result will be the value of h.

x³ – 6x² + 11x – 6 divided by x - 1 gives you: x² - 5x + 6

x² - 5x + 6 divided by x - 2 gives you: x - 3