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) \(f(x)=x^3-13x^2+23x-11\)
Check your solutions.
Go to Try This (Factors and Zeros of Polynomials)