Question

MPICTAT
(
sinon
11. Find the quadratic polynomial whose zeros are 2 + √3 and 2-√3

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Answer 1

let's 2+√3 be alpha and 2-√3 be beta

than A/Q

p(X) = ax^2+bx+c

now sum of zeros is alpha +beta

=2+√3+(2-√3)

=4=-b/a =4/1--------------(by property)

now products of zeros is alpha*beta

(2+√3)(2-√3)

4-3

1=C/A=1/1-------------(by property)

now we get a=1

b=4

c=1

so the polynomial would be x^2+4x+1

hope it will helpful to you

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