Lesson 609 of 1524
Factoring
How to find the greatest common factor (GCF) of two expressions.
Practice this chapterHow to find the greatest common factor (GCF) of two expressions. Write all variables with exponents in expanded form
factoring — Splitting a product into factors is called factoring. greatest common factor — The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions. Zero Product Property — The Zero Product Property says that if the product of two quantities is zero, then at least one of the quantities is zero. polynomial equation — A polynomial equation is an equation that contains a polynomial expression.
Be able to factor as a Noun and a Verb: We use “factor” as both a noun and a verb. Noun: 7 is a factor of 14 Verb: factor 3 from 3 a + 3.
Worked example
What does “factoring” mean in Factoring?
- 1Use the wording this chapter gives for factoring.
- 2The book says: Splitting a product into factors is called factoring.
- 3Do not use the meaning of greatest common factor. That term means The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions.
Result: Splitting a product into factors is called factoring
Why. That is the meaning this chapter gives for factoring.
Do not swap factoring and greatest common factor. factoring means Splitting a product into factors is called factoring. greatest common factor means The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.