find a quadratic polynomial the sum and product of whose zeros are 5 and 3 respectively
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Answer: Let α and β be two zeroes of the polynomial.
Given, α + β = 5 and αβ = 3
∴ according to the general formula;
x² - (α + β)x + (αβ) ;
The required polynomial is:
x² - 5x + 3
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