1. If the area of the rectangle is given by the polynomial 2x² - 7x - 15, what is the dimension of the rectangle in terms of x?
2. The volume of the prism is x³ + 64. If the height is the binomial factor of the volume and the trinomial factor is the product of length and width, find the height of the prism
3. The length of a rectangular lot is 6 less than thrice its width, If the area is 45 square cm, What is the length and the width of the rectangle?