Write a quadratic polynomial whose zeroes are 2 and (−32).
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Find the quadratic polynomial whose zeroes are 2+√3 and 2-√3.
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It is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 .
Sum of zeros = (2+√3+2-√3) = 4 .
Product of zeros = (2+√3)(2-√3)
= (2)^2 - (√3)^2
= 4 -3 = 1
New polynomial ,
P(x) = x^2 - ( sum of zeros ) x + ( product of zeros )
= x^2-4x+1
Hope it Helps
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