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X^2+1 has no real zeroes why?

Answer»

For EXAMPLE, z2+1 has no REAL zeros (because its two zeros are not real numbers). x2−2 has no rational zeros (its two zeros are irrational numbers). ... The fundamental THEOREM of algebra STATES that a polynomial (with real or complex coefficients) of degree n has n zeros in the complex numbers (COUNTING multiplicities).



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