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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