Question

The volume of water in a rectangular swimming pool can be modeled by the polynomial 2x^3-9x^2+7x+6. If the depth of the pool is given by the polynomial 2x + 1, what polynomials express the length and width of the pool?

Answer 1

(2x^3 - 9x^2 + 7x + 6) ÷ (2x + 1) = x^2 - 5x + 6 = (x - 2)(x - 3)
Therefore, the polynomials x - 2 and x - 3 expree the length and width of the pool.