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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 x2 - 2ax + a2 + b2 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
 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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