Question

Write The Polynomial Whose Zeroes Are 2+√3 And 2-√3.

Answer 1

Zeroes are  (2+√3)(2-√3)

=> [x-(2+√3)]*[x-(2-√3)]  

=> (x-2-√3)(x-2+√3)  

=> x² -2x +x√3 -2x +4 -2√3 -x√3 +2√3 -(√3)²  

=> x² - 4x + 4 - 3  

=> x² - 4x + 1  

Hope it helps!

Answer 2

Answer:

p(x)=x²-4x+1

Step-by-step explanation:

Sum of zeroes=2+√3+2-√3

                       =4

Product of zeroes=(2+√3)(2-√3)

                             =2²-(√3)²

                             =1

We know that polynomial p(x)=x²-(sum of zeroes)x + (product of zeroes)

                                           p(x)=x²-4x+1