Question

# If α & β are the zeroes of a quadratic polynomial p(x), and k is any constant, then what is the general form of the polynomial?

A
kx2+(α+β)x+αβ
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B
kx2(α+β)xαβ
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C
kx2+(α+β)xαβ
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D
k(x2(α+β)x+αβ)
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Solution

## The correct option is C k(x2−(α+β)x+αβ)Given, α & β are the zeroes of the quadratic polynomial p(x). This polynomial should be equal to zero when x = α or x = β. Thus, p(x) = k(x−α)(x−β) =kx2−(α+β)x+αβ

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