Question

how to find polynomial from given two zeros?

Answer 1

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Answer 2

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Given that,

α and β are the zeroes of the quadratic equation p(x)

Then,

(x - α) and (x - β) are the factors of p(x)

Since (x - α) and (x - β) are the factors of p(x),

p(x) = (x - α)(x - β)

p(x) = x² -(α + β)x + αβ

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