MathGoldMedalist
Sign InRegister
← Back to Problems

SMO 2025 Senior (Problem 20)

The roots of the polynomial 10x3−39x2+29x−610x^3 - 39x^2 + 29x - 6 are the height, length, and width of a rectangular box (right rectangular prism). A new rectangular box is formed by lengthening each edge of the original box by 2 units. What is the volume of the new box?
(A)  245\text{(A)}\;\dfrac{24}{5}(B)  425\text{(B)}\;\dfrac{42}{5}(C)  815\text{(C)}\;\dfrac{81}{5}(D)  30\text{(D)}\;30(E)  48\text{(E)}\;48