If the zeros of the polynomial ![]()
are in A.P., find the value of k.
Let
are the zeros of the given polynomial.
Sum of the zeros = ![]()
⇒
= ![]()
⇒
= ![]()
⇒
=![]()
Since
is the zero of the polynomial, therefore ![]()
![]()
On substituting
=![]()
![]()
![]()
![]()
⇒ ![]()
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