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If the series is made up of numbers in an arithmetic progression, you have
where
is the first term and 
is the common difference between terms.
Since the last term in the series is
, you have
Solve the system
and you'll find that the first term is
(with 
).
where
Since the last term in the series is
Solve the system
and you'll find that the first term is
A factorization of is
.
- The maximum number of roots of a polynomial of degree
is
- For a polynomial with real coefficients, the roots can be real or complex.
- The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if
is a root, then
is also a root.
If the roots of the polynomial are
, then it can be factorized as
.
Here, we are to find a factorization of . Also, given that
and
are roots of the polynomial.
Since is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.
Hence, and
are also roots of the given polynomial.
Thus, all the four roots of the polynomial , are:
.
So, the polynomial can be factorized as follows:
Therefore, a factorization of is
.
To know more about factorization, refer: brainly.com/question/25829061
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