The volume of a rectangular prism is given by the expression10x3 + 46x2 – 21x – 27. The area of the base of the prism is given by the expression 2x2 + 8x – 9. Which of the following expressions represents the height of the prism? (V = Bh)a) 8x - 3b) 3x - 5c) 5x + 3d) 42x + 3

height  = volume / area of the base
            = 10x^3 + 46x^2 - 21x - 27 /  2x^2 + 8x - 9

   10x^3 / 2x^2  = 5x  so the first term  in the answer will be 5x

Answer is   (c).