Question

if one zero of the polynomial x²-4x+1 is (2+sqrt3) write the other zero ​

Answer 1

Answer:

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).

Step-by-step explanation:

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