Question

write a quadratic polinomial with zeroes. 2+root 3 and 2-root3​

Answer 1

Answer:

$\large{x}^{2} - 4x + 1 = 0$

Step-by-step explanation:

A QE is of the form

${x}^{2} - ( \alpha + \beta ) + \alpha \beta = 0$

$\alpha = 2 + \sqrt{3}$

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

$\alpha + \beta = 4$

$\alpha \beta = 1$

Q.E is

${x}^{2} - 4x + 1 = 0$

Hope it helps