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Question 1

A quadratic function f(x) with integral coefficients has the following properties:

f(3/2) = 0, (x-2) is a factor of f(x), and f(4) = 50. Determine f(x).

Question 2

A cubic function g(x) with integral coefficients has the following properties:

g(3) = 0, G(-3/4) = 0, (x+2) is a factor of g(x), g(1) = -84. Determine g(x).

Thanks!