Factoring expressions Section 5 8 Find the GCF
- Slides: 10
Factoring expressions Section 5. 8
Find the GCF of Monomials A _____ is a number, a variable, or a product of a number and one or more variable. Monomials Not Monomials 25, x, 40 x x + 4, 40 x + 120
Find the GCF of Monomials To _____ a number means to write it as a product of its factors. A monomial can be factored using the same method you would use to factor a number. The _______ of two monomials is the greatest monomial that is a factor of both.
Examples Find the GCF of each pair of monomials. 1. 12, 28 c 2. 25 x, 15 xy 3. 42 mn, 14 mn
Factor Linear Expressions You can use the _____ Property and the work backward strategy to express a linear expression as a product of its factors. A linear expression is in ______ form when it is expressed as the product of its factors. Example: 8 x + 4 y = 4(2 x) + 4(y) The GCF of 8 x and 4 y is 4 = 4 (2 x + y) Distributive Property
Examples Factor each expression. If the expression cannot be factored, write cannot be factored. 4. 4 x – 28 5. 3 x + 33 y 6. 4 x + 35
You Try Find the GCF of each pair of monomials 1. 32 x, 18 2. 27 s, 54 st 3. 18 cd, 30 cd
You Try Factor each expression. If the expression cannot be factored, write cannot be factored. 4. 36 x + 24 5. 4 x + 9 6. 14 x – 16 y
Word Problem Mr. Phen’s monthly income can be represented by the expression 25 x + 120 where x is the number of hours worked. Factor the expression 25 x + 120.
Essential Question Explain how the GCF is used o factor an expression. Us the term Distributive Property in your response. ______________________________________ ___________________
