Question: Consider the equation x^4+6x^2+2=0 Explain why this equation has no rational zeros. Is this the same question as asking why this equation has no real

Consider the equation x^4+6x^2+2=0

  1. Explain why this equation has no rational zeros.
  2. Is this the same question as asking why this equation has no real roots? Why or why not?
  3. Give another example of a polynomial equation that has no real roots and describe how you obtained the equation.

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