SOLUTION: The question asks Given polynomial function f and a zero of f, find the other zeros: f(x) 5x^3-x^2-18x+8;-2 What tried was using the synthetic division to solve the other zeros

Question 1005756: The question asks Given polynomial function f and a zero of f, find the other zeros: f(x) 5x^3-x^2-18x+8;-2
What tried was using the synthetic division to solve the other zeros but I get 5x^2-11x+4 to factor out but I don't think anything goes into that.
What would be the other zeros if that does not factor?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Given is that one of the zeros is ; and using this in synthetic division should give a factorable quadratic quotient.

    -2    |   5   -1   -18   8
          |
          |       -10   22   -8
          |____________________________
              5   -11    4   0

Essentially showing what you/your group found.

The quadratic result should (hopefully) be factorable. A try:
Discriminant, , and you should expect two REAL, IRRATIONAL zeros for this quadratic factor.
They are and .
-
The formula for the general solution of quadratic equation was used.

--
Fixed mistake in denominators
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