SOLUTION: Find all the roots or zeros for the following polynomial. f(x)=x^4-2x^3+5x^2-8x+4

Algebra ->  Trigonometry-basics -> SOLUTION: Find all the roots or zeros for the following polynomial. f(x)=x^4-2x^3+5x^2-8x+4      Log On


   

Question 1060893: Find all the roots or zeros for the following polynomial.
f(x)=x^4-2x^3+5x^2-8x+4
Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.
Find all the roots or zeros for the following polynomial.
f(x)=x^4-2x^3+5x^2-8x+4
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Plot y = x%5E4-2x%5E3%2B5x%5E2-8x%2B4


Good start is to make a plot.

Then recall the "Remainder theorem" and the theorem on rational roots.