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Question

Form the quadratic polynomial whose zeroes are : 35,3+5.

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Solution

The quadratic polynomial whose zeroes
areα,β is f(x)=k[x2(α+β)x+α.β]
Where k is any non-zero real number.

The quadratic polynomial whose zeroes are 35,3+5 is

f(x)=k[x2(35+3+5)x+(35)(3+5)]

f(x)=k[x26x+(3)2(5)2]

f(x)=k[x26x+(95)]

f(x)=k[x26x+4]

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