(a) Use synthetic division to show that 5 is a solution of the polynomial equation 3h° + 27h? - 1050 = 0 (b) Use the solution from part (a) to solve this problem. The width of a rectangular box is three times the height, and the length is 9 inches more than the height. If the volume is 1050 cubic inches, find the dimensions of the box h. h- 3h (a) Select the correct choice below and fill in the answer boxes to complete your choice OA. 3 27 0 - 1050 OB. 3 27 0 1050 15 210 1050 15 210 1050 42 210 3 42 210 OC. 3. 27 - 1050 OD. 27 - 1050 15 210 12 156 3 42 3 39 (b) The height h of the rectangular box is inches. The width 3h of the rectangular box is inches The length h +9 of the rectangular box is inches

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