write a quadratic polynomial whose zeroes are 5+2^6,5-2^6
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Answer:
Sum of zeroes = 5+2√3 + 5-2√3
= 5 + 5
= 10
product of zeroes = (5+2√3) (5-2√3)
= (5)² - (2√3)²
= 25 - 4×3
= 25-12
= 13
Quadratic polynomial =
x² - 10 + 13 is the required polynomial.
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