Which polynomial function has a leading coefficient of 3 and roots - 4,1, and 2, all with multiplicity 1?

Of (x) = 3 (x + 4) (x - 1) (x - 2)

Of (x) = (x - 3) (x + 4) (x-7) (x-2)

Of (x) = (x - 3) (x + 4) (x - 1) (x + 1) (x - 2)

Of (x) = 3 (x + 4) (x - 1) (x + 1) (x - 2)

For this case, we can discard options B and C because they do not have coefficients. Also, we discard option D because it has 4 roots given by - 4.1, - 1,2 each with multiplicity "1".

The multiplicity indicates the number of times a root is repeated.

Then, we have that the correct option is option A, we have a coefficient of "3", in addition to three roots (-4,1,2) with multiplicity "1", because they only repeat once.

Answer:

Option A