Posted by Bella on .
use rational zeros theorem to find all the real zeros in the polynomial function. use zeros to factor f over real numbers.
f(x)=x^3+10x^213x22
find real zeros of f?
use real zeros to factor f?

college algebra 
drwls,
I suggest you start by using the rational roots theorem to find at least one root. You will learn more by making the effort yourself.

college algebra 
Bella,
If I understood it I would not have to ask for help! I got it wrong in the 1st place and wanted to see the right answer. Thank you!!

college algebra 
drwls,
The theorem says that if there is a rational root, it is (in this case) a factor of 22, which are one or more ofthese:
+/1, +/2, +/11 or +/22.
See if any of those work. 
college algebra 
Bella,
thank you!

college algebra 
drwls,
x = 2 is a solution and (x2) is a factor.
The other factor is
(x^3+10x^213x22)/(x2)
Polynomial long division will reduce that to a quadratic. 
college algebra 
Anonymous,
6x^3+25x^224x+5