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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.
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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.
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Sample Problems (15)
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Simplifying Rational Functions with Factoring and GCFs
Problem 1 5,943 viewsSimplify and find any excluded values.
4x³ 16x 
Simplifying Rational Functions with Factoring and GCFs
Problem 2 5,366 viewsSimplify and find any excluded values.
18x³ 6x + 12 
Simplifying Rational Functions with Factoring and GCFs
Problem 3 4,838 viewsSimplify and find any excluded values.
8m + 16 2m² + 5m + 2 
Simplifying Rational Functions with Factoring and GCFs
Problem 4 4,421 viewsSimplify and find any excluded values.
9 − 3x 3x² − 9 − 6x 
Simplifying Rational Functions with Factoring and GCFs
Problem 5 647 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 6 626 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 7 588 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 8 622 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 9 509 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 10 579 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 11 686 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 12 549 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 13 562 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 14 619 views 
Simplifying Rational Functions with Factoring and GCFs
Problem 15 555 views
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