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

Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.
asked 90.3k views
1 vote
Write a polynomial, f(x), with degree 5 that has zeros 1, √2, -√2, √3, -√3.

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User Strawtarget
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1 Answer

4 votes

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.


answered
User Monkeylumps
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8.2k points
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