Find the zeroes of the polynomial by factorisation method and verify the relations between the zeroes and the coefficients of the polynomial.

We have to Find zeroes which means for what values of y the equation gives 0

Multiply whole equation by 3

⇒ 21y² – 11y – 2 = 0

⇒ 21y² + 3y – 14y – 2 = 0

⇒ 3y(7y + 1) – 2(7y + 1) = 0

⇒ (3y – 2)(7y + 1) = 0

⇒ 3y – 2 = 0 and 7y + 1 = 0

Hence and y are roots of

We observe that the root is the constant third term in equation with opposite sign and is the inverse of coefficient of y² with opposite sign.