How do I find the possible rational roots of this polynomial equation?

Question

jojokiw3 · Answer

$$x^3 + x^2 + 3x + 10 = 0$$

idku · Answer

u can start guessing the possible zeros based on the coefficients. I forgot how this method is called

jojokiw3 · Answer

Isn't there something called some rational roots theorem? I can't figure it out.

jojokiw3 · Answer

Is it basically every factor of the constant divided by every factor of the first coefficient?

triciaal · Answer

not complete 

the highest power is 3 so maximum of 3 roots 
if (x-a) is a factor then f(a) = 0 
the constant is 10, what are the factors of 10 that will add up to 3  use 5 and 2 
also need to pay attention to the signs

anonymous · Answer

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triciaal · Answer

Decartes rule of sign   3 positive roots or 2 negative and one real positive

triciaal · Answer

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