SOLUTION: Find the complex zeros of the polynomial function. Write f in factored form. f(x)=5x^4-26x^3+100x^2+106x-25

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the complex zeros of the polynomial function. Write f in factored form. f(x)=5x^4-26x^3+100x^2+106x-25      Log On


   

Question 1039109: Find the complex zeros of the polynomial function. Write f in factored form.
f(x)=5x^4-26x^3+100x^2+106x-25
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.



Figure. Plot y = 5x%5E4-26x%5E3%2B100x%5E2%2B106x-25

I will help you in part.

See this plot? It looks like x = -1 is the root of the polynomial.

Check it using your calculator (or Excel in a computer, if you have it).

Then, do you know what to do next?