Question

if one zero of the polynomial x square - 4 x + 1 is 2 + root 3 write the other Hero

Answer 1

It is your answer. If you like please mark as brainliest

Answer 2

Answer:

The other zero is 2-√3.

Step-by-step explanation:

The given polynomial is

$P(x)=x^2-4x+1$               ....(1)

If α and β are two zeros of a quadratic polynomial, then polynomial is defined as

$x^2+(\alpha+\beta)x+\alpha \beta$             ....(1)

On comparing (1) and (2), we get

$\alpha+\beta=4$

On root of the given polynomial is 2+√3

$2+\sqrt{3}+\beta=4$

$\beta=4-2-\sqrt{3}$

$\beta=2-\sqrt{3}$

Therefore the other zero is 2-√3.