Quotient Ring?

Algebra Level 5

Let \(\mathbb R[X]\) be the polynomial ring of real coefficients. Then there exists some ideal \(J\) such that the quotient ring \(\mathbb R[X]/J\cong\):

  1. \((\mathbb R,+,\times)\), the real numbers ring
  2. \((\mathbb C,+,\times)\), the complex numbers ring
  3. \((\mathbb H,+,\times)\), the quaternion ring
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