Question

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)

Answer 1

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