Question

If (X + A) is multiplied times (X + B), the final term of the resulting trinomial will be:

Answer 1

AB

Explanation:

Using FOIL (first outer inner last) u can determine that the final term will be produced by multiplying the last terms in each bracket. These are A and B, so the final term of the resulting trinomial is AB.

You can check this by fully expanding (x + A)(x + B):

`(x + A)(x + B)\\= x^(2) + Bx + Ax + AB`

the terms B and A are usually numbers, so Bx and Ax tend to get added together to form a middle term. hope this helps!