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Q.

If α,β   are the zeroes of the quadratic polynomial p(x)=x2+x−2 , then the value of α2β+αβ2  is

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a

2

b

1

c

−2

d

−3

answer is A.

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Detailed Solution

Given that, α,β  are the zeroes of the quadratic polynomial p(x)=x2+x−2

With know that, α+β=−ba=−11=−1

αβ=ca=−21=−2

∴α2β+αβ2=αβ(α+β)

=−2(−1)

=2

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If α,β   are the zeroes of the quadratic polynomial p(x)=x2+x−2 , then the value of α2β+αβ2  is