Question

find zeroes of polynomial 3xsquare-2an d find relationship b/wzeroes and cofficient​

Answer 1

Zeroes of polynomial:

3x^2-2=0

=> 3x^2=2

=>  x^2=2/3

=>  x= + or - root 2/3.....(let they be alpha and beta)

Relationship b/w zeroes and co-efficients of this polynomial:

Here in the polynomial, a=3, b=0, c=-2

1. Sum of zeroes: alpha+beta

=> root 2/3 + (-root 2/3)

=> 0

And this equals to -b/a= 0/3= 0

2. Product of zeroes: alpha*beta

=> -2/3

And this equals to, c/a= -2/3......

Hence, Verified

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