What are all the possible rational zeros for #f(x)=x^3+11x^2+35x+33# and how do you find all zeros?
You would find rational zeros in the set of integer and negative numbers dividing the known term 33, which are -1; -3; -11; -33.
Using the remainder theorem, you will find that
So -3 is a rational zero.
Then you will divide:
By using quadratic formula, you would find the not rational zeros: