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
|
|