Question

form the polynomial whose zeros are 3+√3 and 3-√3​

Answer 1

Solution:

Let m,n are two zeroes of the

quadratic polynomial,

m = 3+√3 ,

n = 3-√3 ,

i) m+n = 3+√3+3-√3 = 6

ii) mn = (3+√3)(3-√3)

= 3² - (√3)²

= 9 - 3

= 6

Form of polynomial whose zeroes are m,n is

k[x²-(m+n)x+mn]

= k[x²-6x+6]

If k = 1 ,

Required polynomial is

x²-6x+6

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