Let [tex]P(x) = x^4 +mx^2+n=0[/tex], where m and n are non-zero. Prove that the equation P(x) cannot have a root of multiplicity greater than 2.

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20-06-2024
Mathematics

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Let [tex]P(x) = x^4 +mx^2+n=0[/tex], where m and n are non-zero. Prove that the equation P(x) cannot have a root of multiplicity greater than 2.

Sagot :

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