Question

find the quadratic polynomial whose zeros are 2 + root 3 and 2 minus root 3

Answer 1

Sum of the zeros=2+√3 + 2-√3,

=2+2=4,


product of the zeros=(2+√3)(2-√3),

=2²-√3²

=4-3=1,

therefore

quadratic equation will be

x²-(sum of zeros)x+product of zeros=0,

x²-4x+1=0

Answer 2

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