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Polynomial Advanced Properties - Factoring a Polynomial - Exercise 4

Apply the Rational Zero Test and  Descartes' Rule of Signs to find the smallest possible list of possible rational zeros of f(x) = 2x4 - 11x3 + 19x2 - 13x + 3.  Then use synthetic division to determine which are actual zeros and apply the Fundamental Theorem of Algebra to write f(x) in completely factored form. Note that the justification is already given - no further justification is needed.

 

STATEMENT JUSTIFICATION
f(x) = 2x4 - 11x3 + 19x2 - 13x + 3 Given
Rational Zero Test
Descartes' Rule of Signs
Division Algorithm (Synthetic Division)
Fundamental Theorem of Algebra

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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