Verify that the numbers given along side of the cubic polynomials below are their zeros. Also, verify the relationship between the zeros and coefficients in each case:
(i) ![]()
(ii) ![]()
(i)
= ![]()
=
= 0
=
= 0
Let
=
; β=1; γ=-2
β + γ =
=
= ![]()
β+ βγ + γ
=
=
= ![]()
βγ =
= -1 = ![]()
(ii)
= ![]()
=
= 0
=
= 0
Let
=2; β=1; γ=1
β + γ =
= 4 = ![]()
β+ βγ + γ
=
= ![]()
βγ =
= 2 = ![]()