Question

find the quartic polynomial whose zeroes are ( 3 + ✔2 ) and ( 3 + - ✔2 )

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Answer 1

Answer:

Let take a=3+√2

b=3-√2

sum of zeroes a+b=6

product of zeroes a×b=7

formula is x^2-x(a+b)+a×b

x^2-6x+7

this is the required polynomial