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    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.

    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.
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  2. #2
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    Quote Originally Posted by lucy23435 View Post
    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.
    ...
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