Question

find the quadratic polynmial zeros 2+√3 and 2-√3​

Answer 1

Answer:x²-4x+1

Step-by-step explanation:

(x-2-√3)(x-2+√3)

=x²-2x+√3x-2x+4-2√3-√3x+2√3-3

=x²-4x+1

Answer 2

${\bf{It\ is\ given\ that\ the\ zeros\ of\ the\ quadratic\ polynomial\ is\ 2+√3\ and\ 2-√3 .$

${\bf { Sum\ of\ zeros = (2+√3+2-√3) = 4$

${\bf{Product\ of\ zeros = (2+√3)(2-√3)\\{\bf= (2)^2 - (√3)^2\\{\bf= 4 -3 = 1$

${\bf{New\ polynomial , \\\\\\{\bf {P(x) = x^2 - ( sum \ of \ zeros ) x + ( product \ of\ zeros )$

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