Question

write a quadratic polynomial whose zeros are 2 +√3 and 2 - √3
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Answer 1

heya here is ur answer =

☆Sum of roots = 2+root3+2-root3

=4

☆Product of roots=(2+root3)(2-root3)

=4-3=1

Now formula to write a quadratic expression is=

x^2-(sum of roots)x+product of roots=0

substitute =

x^2-4x+1=0

hence this is the required answer.

hope it helps.

^o^

Answer 2

Answer:

sum of roots =2+√3+2-√3

=4

product of roots=(2+√3) (2-√3)

(2^2)(√3^2)

(4 -3)

1

now,

x^2-(4)x+1=0

x^-4x+1=0