SOLUTION: find the complex zeros of the polynomial function. write f in factored form. f(x) =x^3 - 9x^2 + 36x - 54 f(x) = (reduce fractions and simplify roots)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: find the complex zeros of the polynomial function. write f in factored form. f(x) =x^3 - 9x^2 + 36x - 54 f(x) = (reduce fractions and simplify roots)      Log On


   

Question 1037106: find the complex zeros of the polynomial function. write f in factored form.
f(x) =x^3 - 9x^2 + 36x - 54
f(x) =
(reduce fractions and simplify roots)
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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find the complex zeros of the polynomial function. write f in factored form.
f(x) =x^3 - 9x^2 + 36x - 54
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

Check for the roots among the divisors of 54:
+/-1, +/-2, +/-3, +/-6, +/-9, +/-18, +/-27

or make a plot of the polynomial and find the integer root x = 3.


Next, divide the polynomial by (x-3) without a remainder and get a quadratic polynomial as a quotient.

Then find the roots of that polynomial using the quadratic formula.

Good luck!