If α and β are the zeros of the quadratic polynomial , then evaluate:
(i) (ii)

(iii) (iv)

(v) (vi)

(vii) (viii)

Question

If &#x3B1; and &#x3B2; are the zeros of the quadratic polynomial , from a polynomial whose zeros are .

Philoid · Accepted Answer

A quadratic equation when sum and product of its zeros is given by:

, where k is a constant

Sum of the roots = = = =

Product of the roots = = =

Sum of the zeros of new eqn = = =

⇒ 2×-2× = 2-) [Using (a + b)² = a² + b² + 2ab]

Product of the zeros of new eqn = =

⇒

If α and β are the zeros of the quadratic polynomial , from a polynomial whose zeros are .