...1. The polynomial mx^3-3x^2+nx+2 is divided by x+3, the remainder is -1. When it is divided by x-2,m the remainder is -4. Determine the values of m and n.
use synthetic division to find the respective remainders in terms of m and n
2.The passenger section of a train has width 2x-7, length 2x+3, and height x-2, with all dimensions in metres. Solve a polynomial equation to determine the dimension of the section of the train if the volume is 117m^3.
(2x-7)(2x+3)(x-2) = 117
expand and solve the cubic polynomial for x.