Question 937061
Possible roots to check are plus and minus of 1, 7, 11, using synthetic division.  Look for division remainders of 0.


-1, YES.
1, NO.
-7, NO.
7, YES.
-11, YES.


Three YES's for three rational roots found for third degree polynomial function.


{{{f(x)=(x+1)(x-7)(x+11)}}}