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Question

Find a quadratic polynomial whose zeros are 2 root 3- 2 root 3

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Solution

Dear student
Let S and P be the sum and product of zeros respectively.So, S=23+-23=23-23=0P=23×-23=-12So, the required polynomial whose zeros are 23 and -23 is given by =x2-Sx+P=x2-0×x+-12=x2-12
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