Find the quadratic polynomial whose zeros are 2+√3 and 2-√3.

1.	Find the quadratic polynomial whose zeros are 2+√3 and 2-√3.
Answer» X^2-4x+1 Sum of zero is 2+√3Product of zero is 2-√3X^2+(2+√3)x+(2-√3)X^2+2+√3x+2-√3 Let one zero be alpha and other be beeta.Alpha=2+√3 and beeta=2-√3. Sum of zero= Alpha+ beeta. 2+√3+2-√3=4...Product of zero= alpha× beeta= 2+√3×2-√3= (2)²-(√3)²= 4-3=1. X²- sum of zero(x)+ product of zeroX²- 4x+1.

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