List of top Algebra Questions on Rings and Ideals asked in GATE MA

Let \(\mathbb{Z}_{11}\) be the ring of integers modulo 11. Let \(\mathbb{Z}_{11}[x]\) be the ring of all polynomials with coefficients in \(\mathbb{Z}_{11}\). Which of the following statements is/are TRUE?

Which one of the following statements is TRUE?