Question

3. If a trinomial to be factored through reverse F.O.I.L. has a negative third term, the last terms of the binomial factors have opposite signs because two numbers with the same sign have a negative product while two numbers with opposite signs have a positive product.

A.
True



B.
False

Answer 1

Here's a trinomial with a negative constant and binomial factors with constants with opposite signs:

x^2+x-6=(x+3)(x-2)

We could write that one -(-x-3)(x-2) but that's not really the product of two binomials.

So it's true they have opposite signs, but that's because opposites multiply to a negative, wrong explanation in the answer, let's say false.

Answer 2

False.
Two numbers with opposite signs have a negative product NOT positive product.