. Write a quadratic polynomial whose zeroes are 2 and - 6
Best Answer
Explanation:
The given zeros, as per the question, are α = 2 and β = −6.
Thus, the sum of zeroes = α + β = 2 + (−6) = −4
⇒ Product of zeroes = α*β = 2 (−6) = −12
⇒ Quadratic polynomial = x2 − (α+β)x + (α*β)
⇒ Quadratic polynomial = x2 − (−4)x + (−12)
Final Answer:
The quadratic polynomial is x2 + 4x −12
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