Question

Write a quadratic polynomial with zeros of 2+root3 and 2root3

Answer 1

let roots be a and b. here, a = 2+✓3. and. b = 2- ✓3. so , a+b = 2+✓3+2-✓3 = 2+2 = 4. ab = (2+✓3)(2-✓3) =4-2✓3+2✓3-3 = 1. hence , required equation is , x^2 - (a+b)x +ab = x^2 - 4x + 1.