Answer:

Step-by-step explanation:
Given that one of the zeroes is 1 - i.
Complex roots occur in pairs.
This means, if a + bi is a zero of a polynomial, then a - bi is also its zero.
Therefore, 1 + i is also a zero of the polynomial.
Factors are <em>x</em> - (1 - i) and <em>x</em> - (1 + i).
Multiply the factors.
[<em>x</em> - (1 - i)][<em>x</em> - (1 + i)] = (<em>x</em> - 1 + i)(<em>x</em> - 1 - i)




Given that one of the zeroes is
.
Irrational roots occur in pairs.
This means, if an irrational number <em>m </em>is a zero of a polynomial, then - <em>m</em> is also its zero.
Therefore,
is also a zero of the polynomial.
Factors are
and
.
Multiply the factors.



Hence, the required polynomial is
.