Mathematics — first biennium · Lesson
Factoring out a common factor means using the distributive law backwards: the chosen factor must divide every term.
Prerequisites: Polynomials and monomial division
Goal: Extract a common factor and verify factorization using the distributive law.
In this lesson: Extract a common factor and verify factorization using the distributive law.
New concept: Factoring out a common factor means rewriting a sum as a product: extract the factor present in every term, leaving inside the parentheses exactly what reconstructs the original expression by distribution.
How to proceed: For the number use the GCD of the coefficients; for each variable use the smallest exponent present in every term.
You can already assume: Polynomials and monomial division.
Completed exercises: 0/5 · Correct on first attempt: 0
For the number use the GCD of the coefficients; for each variable use the smallest exponent present in every term.
Data / situation: 6x^2+6x^3
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.