TS EAMCET 4-Aug-2021 Shift 2 Question Paper

f(x) is a polynomial with rational coefficients and given roots of f(x) are 1+2i,2−√3,5.
∵ One root is imaginary and one root is irrational.
⇒ Other two roots are (1−2i) and (2+√3).
∴ Roots of f(x) are 1+2i,1−2i,2−√3,2+√3,5.
Number of roots =5
Degree of polynomial =5