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Given:
The function is:
It is given that -1 is a zero of the given function.
To find:
The other zeroes of the given function.
Solution:
If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.
It is given that -1 is a zero of the given function. So, is a factor of the given function.
We have,
Split the middle terms in such a way so that we get (x+1) as a factor.
Again splitting the middle term, we get
For zeroes, .
and
and
and
and
Therefore, the other two zeroes of the given function are and
.