SOLUTION: Hello, first the task, then what I tried! Task: Consider the polynomial f(x) = 5x3 – 9x2 – 17x – 3. (a) By using the Rational Zero Theorem, list all possible rationa

Question 189949: Hello,
first the task, then what I tried!

Task:
Consider the polynomial f(x) = 5x3 – 9x2 – 17x – 3.
(a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial.
(b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros.

I have tried this but still can't figure it out. I tried x(5x^2-9x-17)-3
then: x(5x^2-9x-20)
now I thought to convert it as follows: X(x+ )(x- ) but I cannot find anything that is 20 but in the middle results in 9. If I will find those two then I know the two zeros right?

Answer by Alan3354(21581) (Show Source):
You can put this solution on YOUR website!
Consider the polynomial f(x) = 5x3 – 9x2 – 17x – 3.
(a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial.
(b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros.
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The constant is 3, so try 1, 3, -1 and -3 as zeroes.