find the polynomial whose zeros are 3 + root 5 and 3 minus root 5
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Given,
3 - √5 and 3 + √5 are zeros of a polynomial
let p(x) be required polynomial
3 - √5 and 3 + √5 are zeros of a polynomial
let p(x) be required polynomial====> x - (3 + √5) and x - (3 - √5) are factors of p(x)
= [x - 3 - √5] [x - 3 + √5]= x - 3x + √5x - 3x + 9 - 3 √5 - √5x +3 √5 - 5
= x² - 6x + 4
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