Question

find the zeros of polynomial if two of its zeri are (2+√3) and(2-✓3)​

Answer 1

Answer:

Step-by-step explanation:

the α = 2+√3

and β = 2-√3

now the general form of quadratic equation is

x² - (α + β ) x + (αβ)

x² - (2+√3 + 2-√3)x + (2+√3)(2-√3)

x²- 4x + 1

now

zeros = -b ±√b²-4ac /2a

          = -(-4) ± √(4)² - 4 / 2

           = 4 ± √16-4 /2

            = 4±√12 /2

            = 4±2√3/2

             = 2 +√3 and 2-√3