Question

find quadratic polynomial if zeroes are √3 and 2

Answer 1

Solution:

Let m, n are two zeroes of the polynomial,

m = √3 , n = 2

i ) m + n = √3+2

ii) mn = √3 × 2 = 2√3

Form of a polynomial whose zeroes are m, n is

k[x²-(m+n)x+mn

= k[x²-(√3+2)x+2√3]

It is true for all real values of k ,

Let k = 1 ,

Polynomial is [x²-(√3+2)x+2√3]

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