The polynomial in x of least degree with the roots 3/2,2/3,\pm\sqrt3 is

Correct Answer is : (3x - 2) (2x - 3) (x2 - 3)

TS ICET 23 May 2019 Shift 1 Paper

Question : 123 of 200

Marks: +1, -0

The polynomial in x of least degree with the roots

3/2,2/3,±√3

Solution:

The polynomial whose roots are α,β,γ,δ

(x-a)(x-β)(x-γ)(x-δ)

∴ Required polynomial

(x-\;{3}/{2})(x-\;{2}/{3})(x-√{3})(x+√{3})

(2 x-3)(3 x-2)(x^{2}-3)

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