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(Solved): 309. The irrational numbers 5+3 and 53 are called conjugates. Invent a quartic polynomial ...



309. The irrational numbers \( 5+\sqrt{3} \) and \( 5-\sqrt{3} \) are called conjugates. Invent a quartic polynomial with int

309. The irrational numbers and are called conjugates. Invent a quartic polynomial with integer coefficients that has four real roots, including these conjugates.


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Given,
Irrational numbers are,

   are conjugates.


Conjugates: The conjugates are defined as a pair of binomials with identical terms but parting opposite arithmetic operators in the middle of these similar terms.

Quartic polynomial with integer coefficients that has four roots can be formed by using Conjugate Root Theorem.
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