Question: Determine the function, f(x), in factored form, with integral coefficients, such that is has the following properties: 1) Third differences are equal to -18 2)

Determine the function, f(x), in factored form, with integral coefficients, such that is has the following properties:

1) Third differences are equal to -18

2) The point (1/2, 0) is an x-intercept

3) The remainder is -60 when f(x) is divided by (x+2)

4) The y-intercept is -18

Please help and show all your work so that I can understand how to do it

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