Question

find a quadratic polynomial whose sum of zeros is 2 root 3 and their product is 2

Answer 1

Sum of zeroes =2√3
Product of zeroes =2
So, to from the quadratic equation
= x²-(sum of zeroes)x+(product of zeroes) =0
= x²-2√3x+2

Answer 2

Answer:

$x^{2} -2\sqrt{x}+2$

Step-by-step explanation:

SUM OF ZEROES=$2\sqrt{x}$

PRODUCT OF ZEROES=2

SO,REQUIRED POLYNOMIAL=$x^{2}$-[SUM OF ZEROES]X +[PRODUCT OF ZERO]

PUT THE VALUE,

                                                 =$x^{2} -2\sqrt{x} +2$