find quadratic polynomial whose zeros are 3 + root 5 upon 5 and 3 minus root 5 upon 5

Dear student
Assuming the zeros as: 3+55,3-55Sum of zeros, S=3+55+3-55=3+5+3-55=65Product of zeros,P=3+55×3-55=9-525=425The required polynomial: kx2-Sx+P=kx2-65x+425 where k is any non zero constant=k2525x2-30x+4=25x2-30x+4 where k=25
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