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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