Approximate the real number solution(s) to the polynomial function f(x) = x3 – 2x2 – 5x + 6? plz help explain.

Question

anonymous · Answer

Do you know about the rational root theorem?

anonymous · Answer

yes, a lil bit

anonymous · Answer

$$f(x)=x^3-2x^2-5x+6$$

Possible rational roots are:
$$ \pm 1 \pm 2 \pm 3 \pm 6 $$

$$f(1)=0 $$, therefore 1 is one root of this polynomial and you can use longhand division to decrease the order of this polynomial by one.

anonymous · Answer

oh okay. so thos are the possible solution.

anonymous · Answer

http://www.mathwords.com/r/rational_root_theorem.htm I believe this website provides a good simple introduction to the rational root theorem. You are right, in this case you have 4*2=8 possible rational solutions to try out.

anonymous · Answer

okay ty.

anonymous · Answer

very welcome