select the correct answer. which expression shows the factors of 9x² + 3x - 2? a. (3x - 1)(3x - 2) b. (3x +…

Explanation:

Step1: Expand option A

$(3x - 1)(3x - 2)=9x^{2}-6x-3x + 2=9x^{2}-9x + 2$

Step2: Expand option B

$(3x + 1)(3x - 2)=9x^{2}-6x+3x - 2=9x^{2}-3x - 2$

Step3: Expand option C

$(3x + 2)(3x - 1)=9x^{2}-3x+6x - 2=9x^{2}+3x - 2$

Step4: Expand option D

$(9x - 2)(x + 1)=9x^{2}+9x-2x - 2=9x^{2}+7x - 2$

Answer:

C. $(3x + 2)(3x - 1)$