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Polynomial Division and Factorization - Reducing a Polynomial - Exercise 6

Given that x=1 is a zero of f(x), show that f(x) = x3 - 4x2 + 2x  + 1 may be factored as using a procedure nearly identical to that used in Exercise 5. Note that in this case, you will need to use the Quadratic Formula to find the zeros of the quadratic. The justification has been given - no further justification is needed.
 

STATEMENT JUSTIFICATION
 x=1 is a zero of f(x) = x3 - 4x2 + 2x  + 1

 

 

 

 

 

 

 

 

 

 

Given

Use Synthetic Division, Properties of Zeros, the Zero Product Rule, and the Quadratic Formula.

 

 

 

 

 

 

 

 

 

 

 

 

 

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