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A quadratic polynomial f(x)=x^2+ ax+ b i...

A quadratic polynomial `f(x)=x^2+ ax+ b` is formed with one of its zeros being`(4+3sqrt3)/(2+sqrt3)` where `a` and `b` are integers. Also `g(x)=x^4+2x^3- 10x^2 +4x- 10` is a biquadratic polynomial such that `g(4+3sqrt3)/(2+sqrt3)=csqrt3+d` where `c` and `d` are also integers. Find the values of `a, b, c` and `d`

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