Question

Form the quadratic polynomial whose zeroes are 2+√3 a d 2-√3​

Answer 1

it is given that the zeros of the quadratic polynomial is 2+√3 and 2-√3 .

Sum of zeros = (2+√3+2-√3) = 4 .

Product of zeros = (2+√3)(2-√3)

= (2)^2 - (√3)^2

= 4 -3 = 1

New polynomial ,

P(x) = x^2 - ( sum of zeros ) x + ( product of zeros )

= x^2-4x+1

Hope it Helps

Answer 2

Answer:

x²-4x+1=0

Step-by-step explanation:

Let the quadratic polynomial be ax²+bx+c=0 and its zeroes be α and β.

We have

Sum of zeroes=α+β=2+√3+2-√3=4 =-b/a

Product of zeroes=αβ=

(2+√3)(2-√3)=(2)²-(√3)²=4-3=1=c/a

Here, a=1, b=-4 and c=1

So, one quadratic polynomial which fits the given conditions is x²-4x+1=0