Find a polynomial whose zeroes are √2 and -√2.
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Find a polynomial whose zeroes are √2 and -√2.
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Given alpha=root2 beta=-root2
Sum of zeroes(alpha+beta)=root2-root2=0
Product of zeroes(alpha×beta) =root2×-root2=-2
Quadratic polynomial formula
K[x^2-(alpha+beta)x+(alpha×beta)]
K[x^2-0x-2]
K[x^2-0-2]
K[x^2-2]
K=1
1[x^2-2]
x^2-2 is the required quadratic polynomial
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