find the quadratic polynomial the sum and the product of whose zeroes are 1/2,and-2.
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We know that every quadratic equation is based on this relation..
p(x)=kx²−(α+β)x+αβ
where, α and β are the zeroes of given polynomial.
Now putting values of (α+β)=2 and αβ=−15 in above equation, we get ...
p(x)=x²−2x−15=0
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