SOLUTION: I have a box with a square top. The front face of the box has an area of A=x^3-2x^2-2x-3. The height of the box is h = x^2 + x + 1. Find a formula for the rea of the top square

Question 1102: I have a box with a square top. The front face of the box has an area of A=x^3-2x^2-2x-3. The height of the box is h = x^2 + x + 1. Find a formula for the rea of the top square in terms of x.
Answer by khwang(438) (Show Source): You can put this solution on YOUR website!
Let the length of the top square be L.
Note that the area of the front face
By factorization, we have
A = h * L = x^3-2x^2-2x-3 = (x^2 + x + 1) (x-3)= L * (x-3)
So,L = x-3, and the area of the top square =L^2 = (x -3)^2
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