How do we find the greatest common factor of a polynomial? Demonstrate the ...

(a) How do we find the greatest common factor of a polynomial? Demonstrate the process with an example, showing your work. (b) When finding the greatest common factor of a polynomial, can it ever be larger than the smallest coefficient? (c) Can it ever be smaller than the smallest coefficient?

Least common denominators are required for subtracting rational expressions. What steps must be taken to obtain this requirement? Demonstrate the process with your own example.