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Question
If α and β are the zeroes of a polynomial such that α+β=6 and αβ=4 then write the quadratic polynomial.
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Solution
Given that,α+β=6 And αβ=4
The quadratic polynomial whose zeroes are α,β is,
f(x)=k[x2−(α+β)x+αβ]
=k[x2−6x+4]
Where ′k′ is any non zero real number
α+β=6 And αβ=4
The quadratic polynomial whose zeroes are α,β is,
f(x)=k[x2−(α+β)x+αβ]
=k[x2−6x+4]
Where ′k′ is any non zero real number
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