Question

Hey can you please help me posted picture of question:)

Answer 1

HI there!

The answer is
A ) x + 12

Another binomial may be x+7, but that is not on the list.

(x+12)(x+7)

Answer 2

The given trinomial can be factored using factorization as
x²+19x+84
=x²+12x+7x+84
=x(x+12)+7(x+12)
=(x+12)(x+7)

Thus x+12 and x+7 are the factors of the given trinomial. From these we can see x+12 is listed in option A.
So the answer to this question is Option A