the correct answer option is (2x-3)(2x+3).
we are given the following expression and we are to factorize it:
we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.
the two such factors of 36 are negative six and postive six.
factorizing the given expression to get:
therefore, the correct factorization of [tex]4x^2-0x-9[/tex] is (2x-3)(2x+3).