Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.

asked Aug 24, 2019 90.3k views

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The get (x-1)(x-√2)(x+√2)(x-√3)(x+√3).

Expanding, you get x^5-x^4-5x^3+5x^2+6x-6.

Monkeylumps answered Aug 29, 2019

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