Like what you saw?
Create FREE Account and:
 Watch all FREE content in 21 subjects(388 videos for 23 hours)
 FREE advice on how to get better grades at school from an expert
 Attend and watch FREE live webinar on useful topics
Simplifying Rational Functions with Factoring and GCFs  Problem 1
Alissa Fong
Alissa Fong
MA, Stanford University
Teaching in the San Francisco Bay Area
Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts
This is a rational expression fraction that needs to be simplified so what I’m going to do is cross out any factors I have in the numerator and the denominator that are exactly the same.
One thing you might notice is that 4/16 can be reduced to ¼. So the start of my reduced version is going to be ¼. I’m also going to reduce x to the third on top if x by thinking of it like this, x to the third on top of x those guys get cancelled out and on top I just have x². So my final answer here is going to be x² over 4 that’s the reduced version of that original fraction. First I reduced the constants to ¼ then I reduced the x terms. 3x is on top 1 on the bottom.
Okay the last thing it asked me to do is to find the excluded values. Remember excluded values are values of x that would make this undefined or values of x that would make this have a denominator equal to 0.
So looking just at my denominator there’s only one number that x could be that would make that equal to 0 and that number is 0. If x were 0 here this would be undefined so this is my excluded value, x cannot be equal to 0 x could be any other number I want to on the whole planet. It just can’t be 0.
Please enter your name.
Are you sure you want to delete this comment?
Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
Your tutorials are good and you have a personality as well. I hope you have more advanced college level stuff, because I like the way you teach.”
Thanks alot for such great lectures... I never found learning this easier ever before... keep up the great work.... :)”
You seem so kind, it's awesome. Easier to learn from people who seem to be rooting for ya!' thanks”
Sample Problems (15)
Need help with a problem?
Watch expert teachers solve similar problems.

Simplifying Rational Functions with Factoring and GCFs
Problem 1 5,994 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 5,435 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 4,865 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 4,457 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 668 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 648 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 604 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 645 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 520 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 597 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 704 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 561 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 582 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 635 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 571 views
Comments (0)
Please Sign in or Sign up to add your comment.
·
Delete