The sum and the product of the zeros of a quadratic polynomial are 3 and –10 respectively. The quadratic polynomial is ______.

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The sum and the product of the zeros of a quadratic polynomial are 3 and –10 respectively. The quadratic polynomial is x2 – 3x – 10. Explanation: For a monic quadratic with zeros α and β. f(x) = x2 – (α + β)x + (αβ). Here, α + β = 3 and αβ = –10. So, f(x) = x2 – 3x – 10.

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