David performed the following mathematical operation:
2x+3
x+3√2x²+9x+9

He was left with a remainder of zero. Which of the following statements must be true?
A. 3 must be a root of the polynomial 2x² +9x+9
B. -3 must be a root of the polynomial 2x²+9x+9
c. 3/2 must be a root of the polynomial 2x² +9x+9
D. -2/3must be a root of the polynomial 2x² +9x+9