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TIFR-2016-Maths-B: 28

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Which of the following rings is an integral domain ?

  1. $\mathbb{R}\left [ x \right ]/\left ( x^{2} +x +1 \right )$
  2. $\mathbb{R}\left [ x \right ]/\left ( x^{2} +5x +6 \right )$
  3. $\mathbb{R}\left [ x \right ]/\left ( x^{3} -2 \right )$
  4. $\mathbb{R}\left [ x \right ]/\left ( x^{7}  +1 \right )$
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