How do you write a polynomial function of least degree given the zeros 0, 2, #sqrt3#?

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Aug 22, 2017

Answer:

Polynomial function of least degree given zeros #0,2# and #sqrt3# is #x^3-2x^2-sqrt3x^2+2sqrt3x#

Explanation:

A polynomial function of least degree given zeros #alpha,beta# and #gamma# is

#(x-alpha)(x-beta)(x-gamma)#

Hence, a polynomial function of least degree given zeros #0,2# and #sqrt3# is

#x(x-2)(x-sqrt3)#

= #x(x^2-2x-sqrt3x+2sqrt3)#

= #x^3-2x^2-sqrt3x^2+2sqrt3x#

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