Can someone please help me

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  f(x) = 3x³ +6x² -3x -6

Step-by-step explanation:

Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...

  f(x) = a(x -(-2))(x -(-1))(x -1)

The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...

  f(0) = -6 = a(2)(1)(-1)

  -6 = -2a

  a = 3 . . . . . divide by -2

So, the function in factored form is ...

  f(x) = 3(x +2)(x +1)(x -1)

Expanded, this is ...

  f(x) = 3x³ +6x² -3x -6

step-by-step explanation:

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