Explanation:
For the first part, see image below
second part
(x-2)(x- 1 ) ( x-5) = 0 expand
(x^2 -3x+ 2)(x-5) =0 expand more
x^3 - 5x^2 -3x^2+15x + 2x -10 = 0 simplify
x^3 -8x^2 + 17x-10 = g(x)
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