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Polynomial Division and Factorization - Reducing a Polynomial - Exercise 5

Given x=2 is a zero of f(x), show that f(x) = x3 - 3x2 - 4x  + 12 may be factored as (x - 2)(x2 - x -6), the other two zeros are x=3 and x=-2, and the complete factorization in terms of linear factors is f(x)=(x-2)(x-3)(x+2). The justification has been given - no further justification is needed.
 

STATEMENT JUSTIFICATION
 x=2 is a zero of f(x) = x3 - 3x2 - 4x  + 12

 

 

 

 

 

 

 

 

Given

Use Synthetic Division, Properties of Zeros, the Zero Product Rule, Distributive Property (to factor), and Addition Properties of Equality.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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