Question

Find a polynomial equation of minimum degree with rational coefficients, having 2i+3 as a root

Answer 1

Answer:

Given roots is (3 + 2i), the other root is (3 – 2i); Since imaginary roots occur in with real coefficient occurring conjugate pairs. x2 – x(S.O.R) + P.O.R = 0 ⇒ x2 – x(6) + (9 + 4) = 0 ⇒ x2 – 6x + 13 = 0Read more on Sarthaks.com - https://www.sarthaks.com/869275/find-polynomial-equation-of-minimum-degree-with-rational-coefficients-having-2i-as-root