Which second degree polynomial function f of x has a leading coefficient of 3 and roots 4 and 1 ?

A polynomial with roots 4 and 1 has factors (x − 4) and (x − 1). With leading coefficient 3, f(x) = 3(x − 4)(x − 1) = 3(x² − 5x + 4) = 3x² − 15x + 12. This matches choice A, f(x) = 3x² − 15x + 12.

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