11-4 Common Monomial Factoring 1. What are the factors of 18m ? 2 1st write all the factors of . 1, 18, 2, 9, 3, 6 = 2nd list all the factors of .

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Objectives The student will be able to: 1. find the prime factorization of a number. 2. find the greatest common factor (GCF) for a set of monomials.

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Presentation transcript:

11-4 Common Monomial Factoring 1. What are the factors of 18m ? 2 1st write all the factors of __. 1, 18, 2, 9, 3, 6 = 2nd list all the factors of __. 2 m, m 2 3rd list all the ___________ of steps 1 and 2. 1, 2, 3, 6, 9, 18 2m, 3m, 6m, 9m, 18m 2m, 3m, 6m, 9m, 18m m combinations

2. Find the greatest common factor of 16a m, -12a m, and 4a m st find the gcf for the ____________. 16, -12, 4 4 2nd find the gcf for the variable _. a, a, a a 2 3rd find the gcf for the variable __. m, m, m 3 5 m _____ them all together: 4a m 2 coefficients a m Mult.

3. Factor each expression. a. 18y - 6y -15yb. 28c d - 14d st find the ___ for the coefficients, then the _______ and _____ them together. 2nd write what you ________. 3y3y ( 6y - 2y - 5 ) 2 14 ( 2c ) 2 To check your answers multiply out. = 18y 3 14d ( 2c - d ) 2 4 = 28c d 2 3 ( 6y ) 2 gcf have left mult. - 2y- 5- d - 6y-15y - 14d variable yd

4. Simplify -10z + 5z 5z 1. Factor the numerator 5z 2 2. Cancel only the monomial 5z (-2z + 1) 5z -2z + 1 * _____ cancel part of a binomial. (-2z + 1) 5z Never

5. Find the GCF of 12a b, 6ab, 24ab For: 12, 6, 24 6 a, a, a 2 a b, b, b b 3 GCF = 6ab 3 6. Factor 12a b + 6ab - 24ab Terms are the same as problem 5, so use the ___ found in problem 5, then write what you have ___ after the gcf is ___________. gcf leftfactored out 6ab 3 ( 2a ) 2 + b- 4b