Which of the following is the correct factorization of this trinomial? 4x^2-0x-9
A. (4x-3)(x+3)
B. (4x-9)(x + 1)
C. (2x-3)(2x+3)
D. (2x - 9) (2x + 1)

(2x-3)(2x+3)

Step-by-step explanation:

4x^2-0x-9

(4x^2-9)

(2x)^2 - (3)^2

We recognize that this is the difference of squares a^2 - b^2 = (a-b)(a+b)

(2x-3)(2x+3)

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.