Question

find the quadratic polynomial whose zeroes are root2+ 3 and root2-3

Answer 1

Hey friend ✋! here is your answer

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✅ quadratic polynomial =x^2-(alpha+beta)x+(alpha × beta)

✔️alpha =√2+3. &. beta=√2-3

✅Put in formula

✔️x^2-(√2+3+√2-3)x+(√2+3)(√2-3)


✔️x^2-2√2x+(√2)^2-(3)^2

{By identity (a+b)(a-b)=a^2-b^2

✅x^2-2√2x+2-9

✔️ Quadratic polynomial=x^2-2√2x-7

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⭐️Hope it helps you ⭐️
#Rohan ( Maths aryabhatt)♥️