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Lesson 1: Factoring with common monomial factor Lesson 2: Factoring difference of two squares Lesson 3: Factoring the Sum and Difference of Two Cubes After going through this module, you are expected to: 1. determine patterns in factoring polynomials; 2. factor polynomials completely and accurately using the greatest
The greatest common factor (GCF) of two or more monomials is the product of the greatest common factor of the coeffi cients and the greatest common factors of the variables.
This article teaches you common monomial factors, factoring special products and factoring polynomials. Lots of examples are included
To factor a polynomial, We look first for the greatest common monomial factor, that is, the greatest monomial that is a factor of each term of the poly- nomial. For example: 1. Factor 4rs + 8st. There are many common factors Of 4rs and 8st such as 2, 4, 28, and 4s. The greatest common monomial factor is 4s.
MONOMIAL FACTORS. Factoring means that we will be starting with a product and deciding what was multiplied together in order to get that product. To factor polynomials, we will first want to see whether there are any common factors. Let us look at some examples with numbers. The number 24 could be factored in several ways: . 24 = 1 × 24 .
Factoring Practice I. Greatest Common Factor (GCF) Find the GCF of the numbers. 1. 12, 18 2. 10, 35 3. 8, 30 4. 16, 24 5. 28, 49 6. 27, 63 7. 30, 45 8. 48, 72 II. Greatest Common Monomial Factor Factor, write prime if prime. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. III. Factoring the Difference of Two Squares Factor, write prime if prime ...
FACTORING POLYNOMIALS 1) First determine if a common monomial factor (Greatest Common Factor) exists. Factor trees may be used to find the GCF of difficult numbers. Be aware of opposites: Ex. (a-b) and (b-a) These may become the same by factoring -1 from one of them.
