The correct Option is (D) 9x^4 + 21x^3 + 27x^2 + 24x + 9
Explanation: The product of the polynomials (3x^3 + 4x^2 + 5x + 3)(3x + 3) is:
3x(3x^3 + 4x^2 + 5x + 3) + 3(3x^3 + 4x^2 + 5x + 3)
9x^4 + 12x^3 + 15x^2 + 9x + 9x^3 + 12x^2 + 15x + 9
9x^4 + 21x^3 + 27x^2 + 24x + 9 (Option D)