What value in place of the question mark makes the polynomial below a perfect square trinomial? 9x2+? x+64

When A = 48, the polynomial   a perfect square trinomial.

Step-by-step explanation:

 Given : the polynomial

We have to find the value of A that makes the polynomial a perfect square trinomial.

For a trinomial to be a perfect square trinomial when it can be written in form of a perfect square as

Consider the given polynomial

Comparing the given polynomial with the right side of the above identity,

can be written as

We have,

a = 3x , b = 8

also , 2ab = Ax

2(3x)(8) = Ax

⇒ 48 = A

Thus, When A = 48, the polynomial   a perfect square trinomial.

the answer is d. 75%