POLQ 1 | Lesson 3 | Practice (Rational Root Theorem)

Here are three problems to try. None of these have so many possible rational zeros that a graphing utility is required, so try to do these without a graph first.

Find all of the possible rational zeros and then find all the actual rational zeros using synthetic division. When done, then graph to see if you have indeed found all of the rational zeros.

a) $$f(x)=x^3+13x^2+23x+11$$

b) $$f(x)=x^3+4x^2+5x+2$$

c) $$f(x)=5x^3+29x^2+19x-5$$