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

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

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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(52776) (Show Source): You can put this solution on YOUR website!
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Find all the roots or zeros for the following polynomial.
f(x)=x^4-2x^3+5x^2-8x+4
~~~~~~~~~~~~~~~~~~~~~~~~~~~

Plot y =

Good start is to make a plot.

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

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