Alexa L.

asked • 01/29/23

Write a polynomial function of least degree with integral coefficients that has the given zeros.




1 Expert Answer

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Robert K. answered • 01/29/23

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P(x) = a(3x - 2)[x - (2 - sqrt3)][x - (2 + sqrt3)]


P(x) = a(3x - 2)[x - 2 + sqrt3][x - 2 - sqrt3]


P(x) = a(3x - 2)[(x - 2)^2 - 3]


p(x) = a(3x -2)[x^2 - 4x + 4 - 3]


P(x) = a(3x -2)(x^2 - 4x + 1)


P(x) = a(3x^3 - 14x^2 + 11x + 1)

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