Question

find the quadratic polynomial for the zeroes 2-3

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Answer 1

Answer      It is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 .

Sum of zeros = (2+√3+2-√3) = 4 .

Product of zeros = (2+√3)(2-√3)

= (2)^2 - (√3)^2

= 4 -3 = 1

New polynomial ,

P(x) = x^2 - ( sum of zeros ) x + ( product of zeros )

= x^2-4x+1