# Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.

Given: Sum of the zeroes of the polynomial = –2

The product of the zeroes of the polynomial = √2

Concept Used:

The quadratic polynomial is given by:

P(x) = x2 – (Sum of the zeroes)x + (Product of the zeroes)

Explanation:

Putting the values in p(x) we get,

P(x) = x2 – (–2)x + √2

P(x) = x2 + 2x + √2

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