find a quadratic polynomial whose zeroes are 5-3√2 and 5+3√2
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Answer:
Quadratic polynomial=x²-10x+7
Step-by-step explanation:
α=5-3√2, β=5+3√2
Quadratic polynomial
=x²-(α+β)x+αβ
=x²-(5-3√2+5+3√2)x+(5-3√2)(5+3√2)
=x²-(5+5-3√2+3√2)x+(5)²-(3√2)²
=x²-10x+25-18
=x²-10x+7
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