General formula of quadratic polynomial whose zeros are a and beta
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The general form of quadratic polynomial whose zeroes are alpha and beta is
k({x}^{2} - ( \alpha + \beta )x + \alpha \beta )k(x
2
−(α+β)x+αβ)
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Quadratic Polynomial.
where , ( α + β ) is sum of zeroes and αβ is product of zeroes.
Here, α = - 4 and β = 2. ⇒ α + β = -4 + 2 = -2.
αβ = -4 × 2 = -8. ⇒ Quadratic Polynomial = k ( x² - ( -2 ) x + ( -8 ) ) ...
Therefore, Quadratic Polynomial is k ( x² + 2x - 8 )
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