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Asked by Vadderamakrishna2 | 30th Aug, 2021, 12:17: PM

Expert Answer:

TO find a quadratic polynomial whose zeroes are 2 + root3 and 2 - root3
The space polynomial space with space roots space open parentheses 2 plus square root of 3 close parentheses space and space open parentheses 2 minus square root of 3 close parentheses space is space given space by
open square brackets straight x minus open parentheses 2 plus square root of 3 close parentheses close square brackets open square brackets straight x minus open parentheses 2 minus square root of 3 close parentheses close square brackets
equals straight x squared minus open parentheses 2 plus square root of 3 close parentheses straight x minus open parentheses 2 minus square root of 3 close parentheses straight x plus open parentheses 2 plus square root of 3 close parentheses open parentheses 2 minus square root of 3 close parentheses
equals straight x squared minus open parentheses 2 plus square root of 3 minus 2 plus square root of 3 close parentheses straight x plus 4 minus 3
equals straight x squared minus 2 square root of 3 straight x plus 1

Answered by Renu Varma | 2nd Sep, 2021, 11:31: PM