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Grade 12 Advanced Functions, University Preparation (MHF4U)
C. Polynomial and Rational Functions
38. 12AF.C3.1
38.3 Factor by grouping
Factoring by Grouping
A method for factoring polynomials with four terms by grouping them into pairs and pulling out common factors.
What You'll Learn
Factoring by grouping factors polynomials, most often those with four terms.
Step 1: group the terms into two pairs.
Step 2: factor the greatest common factor from each pair.
Step 3: factor out the binomial the pairs share.
If no common binomial appears, reorder the terms and try again.
What You'll Practice
1
Grouping four-term polynomials into two pairs and finding common factors
2
Factoring out GCF from each grouped pair separately
3
Identifying and extracting common binomial factors across groups
4
Working with polynomials containing both numerical and variable terms
Why This Matters
Factoring by grouping is essential for solving complex polynomial equations you'll encounter in algebra and calculus. This technique extends your factoring toolkit beyond simple GCF, enabling you to tackle higher-degree polynomials that appear in advanced math courses and real-world applications.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Learning resources
Skills
Factoring
Polynomials
Grouping
GCF
Binomial Factors
Algebra
ON Curriculum Aligned