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Find the quadratic polynomial whose zeros are given as 2 and -1. |
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Answer» Let the quadratic polynomial be ax2 + bx + c = 0 and its zeroes be α = 2 and β = −1 Sum of the zeroes = α + β = 2 + (−1) = 2 − 1 = 1 Product of the zeroes = αβ = 2 × (−1) = −2 The quadratic polynomial will be ax2 + bx + c is k[x2 − (α + β)x + αβ] k[x2 − (1)x + (−2)] If K = 1 , the quadratic polynomial will be 1[x2 − (1)x + (−2)] ⇒ x2 − x − 2 |
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