Question

Find the zeroes of the following polynomials by factorization method and verify the relations between
zeroes and the coefficients of the polynomial.
(i) 2x2 - (1 + 2 V2) x +V2
(ii) y2 +3/2 V5 y-5​

Answer 1

(i) 2x2 - (1 + 2 V2) x +V2

Relationship between zeroes and coefficients

Sum of zeroes=-(coefficient of x)/coefficient of x^2=-(-1 + 2 V2)/2=1+2V2/2

Product of zeroes=constant term/coefficient of x^2=V2/2

(ii) y2 +3/2 V5 y-5

Relationship between zeroes and coefficients

Sum of zeroes=-(Coefficient of y) /coefficient of y^2=-3/2 V5/1=-3/2 V5

Product of zeroes=constant term/coefficient of x^2=-5/1=-5

I hope it's help you

Plz mark my answer as a brainliest answer