Using the rational zeros theorem to find all zeros of a polynomial

label Algebra
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The function below has at least one rational zero. Use this fact to find all zeros of the function.

g(x)= 3x^3 + x^2 - 5x + 2

If there is more than one zero, separate them with commas. Write exact values not decimal approximations.

Oct 17th, 2015

Thank you for the opportunity to help you with your question!

Factors of the constant (p) = +/- 1, 2

Factors of the leading coefficient (q) = +/- 1, 3

p/q combos:

1, 1/3, -1, -1/3, 2, 2/3, -2, -2/3

Zeroes:
x = 2/3
x = (-1 + sqrt(5))/2
x = (sqrt(5) -1) / 2
Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 17th, 2015

So I would write it like this: x=(√5-1)/2

Oct 17th, 2015

Yes! And I have to ask, how on earth did you get the square root symbol?

Oct 17th, 2015

I use the Mathematics Keyboard Online you copy & paste the symbols


Oct 17th, 2015

Ah! I see.


Oct 17th, 2015

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Oct 17th, 2015
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