If one zero of the polynomial x2 ‒ 4x + 1 is (2 + √3), write the other zero.

Q1 of 113 Page 61

If one zero of the polynomial x² ‒ 4x + 1 is (2 + √3), write the other zero.

It is given in the question that, zero of the polynomial x² – 4x + 1 is (2 + )

Let the other zero of the polynomial be a

We know that,

Sum of zeros =

∴ 2 + √3 + a =

a = 2 - √3

Hence, the other zero of the given polynomial is (2 -√3)

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