find a quadratic polynomial the sum and product of whose zeroes are -3 and 2
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find a quadratic polynomial the sum and product of whose zeroes are -3 and 2
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Verified answer
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
Hope it's helpful dear.....