# Finding Rational Roots

Using the rational roots theorem, determine what numbers are potential rational roots of the following polynomials:

1) $$f(x)=x^2+8x+10$$

2) $$f(x)=x^2-64$$

3) $$f(x)=5x^3-2x^2+20x-8$$

For the problems below, find the possible rational roots and then use synthetic division and other factoring strategies to find all the rational roots of the functions.

1) $$f(x)=x^3+x^2-5x+3$$

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