Polynomial Advanced Properties  Complex Conjugate Pair Zeros 
Exercise 5
Given f(x) is a polynomial with a complex zeros x = a + bi and x =
a bi, use the Properties of Zeros and the Distributive Property
(multiply out factors and combine like terms) to show than x^{2}
 2ax + a^{2} + b^{2} will be a factor of f(x).
Note that the justification is already given  no further
justification is needed.
STATEMENT 
JUSTIFICATION 
Given f(x) is a polynomial with a
complex zeros x = a + bi and x = a bi 
Given
Properties of Zeros
Distributive Property

