### Concept (1)

We have rational functions whenever we have a fraction that has a polynomial in the numerator and/or in the denominator. An excluded value in the function is any value of the variable that would make the denominator equal to zero. To find the domain, list all the values of the variable that, when substituted, would result in a zero in the denominator.

### Sample Problems (8)

Need help with "Greatest Common Factors" problems? Watch expert teachers solve similar problems to develop your skills.

Find the greatest common factor of

a) 24 and 60
b) 18x² and 27x³
###### Problem 1
How to find the greatest common factor of 2 constants or 2 monomials.

Factor:

a) 5x³ + 10x
b) 6p³ − 12p² − 60p
###### Problem 2
How to use the monomial greatest common factor to factor a polynomial.

Factor:

3x(x + 6) − 10(x + 6)
###### Problem 3
How to find a binomial greatest common factor.
###### Problem 4
Finding the greatest common factors of integers using factor trees
###### Problem 5
Examples of factoring out a greatest common factor constant and an overview of the idea of factoring, or "undistributing"
###### Problem 6
Examples of factoring out a monomial greatest common factor that is an integer, a variable, or both
###### Problem 7
Examples of factoring a greatest common factor when the GCF is a binomial
###### Problem 8
Finding the greatest common factors of monomials that include both integers and variables.