The area of a rectangle is (x4 + 4x3 + 3x2 – 4x – 4), and the length of the rectangle is (x3 + 5x2 + 8x + 4). if area = length × width, what is the width of the rectangle? x + 1 x – 9 x + 4 x – 1

The only way you can solve this is by long division of polynomials.  The area formula you gave above, so it would be set up like this: .  We need to solve for the width, W.  So we will divide the x^4 expression by the x^3 expression.  .  As I already said, the only way to handle this is by long division.  When you do that division (which is literally impossible to explain in words...I'm so sorry!) you get x-1 with no remainder.