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Question

The sum of the zeros and the product of zeros of a quadratic polynomial are 12 and 3 respectively. Write the polynomial.

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Solution

Given the sum of zeroes: (α+β)=12


Product of zeroes: (αβ)=3


Recall that the quadratic polynomial with zeroes α,β is given by x2(α+β)x+(αβ)

x2[12]x+(3)

x2+(12)x3


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