(a) Use synthetic division to show that 5 is a solution of the polynomial equation 2h + 10h- - 500 =0. (b) Use the solution from part (a) to solve this problem. The width of a rectangular box is twice the height, and the length is 5 inches more than the height. If the volume is 500 cubic inches, find the dimensions of the box h +5 2h(a) Select the correct choice below and fill in the answer boxes to complete your choice. O A. 2 10 - 500 O B. 2 10 -500 10 100 8 72 2 20 2 18 O C. 2 10 0 - 500 O D. 2 10 0 500 10 100 500 10 100 500 2 20 100 2 20 100 (b) The height h of the rectangular box is inches The width 2h of the rectangular box is inches The length h + 5 of the rectangular box is inches