Question

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

Answer 1

Given: (2 + √3) is one of zero of polynomial x² ‒ 4x + 1.

To find: Other zero

Since given polynomial is a quadratic so it has only two zeros.

Let other zero be x.

Now,

Sum of zeros = -(coefficient of x)/(coefficient of x^2)

x + (2 + √3) = -(-4/1) = 4

x + 2 + √3 = 4

or x = 2 – √3

Hence, the other zero is (2 -√3).