Mathematics — first biennium · Lesson
Factoring by grouping is not just extracting one factor from each pair: the groups must produce the same polynomial factor, which can then be factored out again.
Prerequisites: Common factors and polynomial reduction
Goal: Group terms strategically until a common binomial factor appears.
In this lesson: Group terms strategically until a common binomial factor appears.
New concept: In factoring by grouping, terms are split into useful groups. After the first factoring step, the groups must share the same polynomial factor; that common factor is then factored out again.
How to proceed: First check that both groups produce exactly the same binomial; only then factor it out as a common factor.
You can already assume: Common factors and polynomial reduction.
Completed exercises: 0/5 · Correct on first attempt: 0
First check that both groups produce exactly the same binomial; only then factor it out as a common factor.
Data / situation: Factor 5x+5y+1x+1y.
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.