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11-4 Common Monomial Factoring. 2. 1. What are the factors of 18m ?. 1, 18, 2, 9, 3, 6 =. 1st write all the factors of __. 18. 1, 2, 3, 6, 9, 18. 2nd list all the factors of __. m, m. 2. 2. m. 2m, 3m, 6m, 9m, 18m. 3rd list all the ___________ of steps 1 and 2. combinations.
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11-4 Common Monomial Factoring 2 1. What are the factors of 18m ? 1, 18, 2, 9, 3, 6 = 1st write all the factors of __. 18 1, 2, 3, 6, 9, 18 2nd list all the factors of __. m, m 2 2 m 2m, 3m, 6m, 9m, 18m 3rd list all the ___________ of steps 1 and 2. combinations 2m, 3m, 6m, 9m, 18m 2 2 2 2 2
2. Find the greatest common factor of 16a m , -12a m , and 4a m . 5 3 3 2 5 16, -12, 4 1st find the gcf for the ____________. coefficients 4 a , a , a 5 3 2 2nd find the gcf for the variable _ . a a 2 m, m , m 3 5 3rd find the gcf for the variable __. m m 4a m 2 Mult. _____ them all together:
3. Factor each expression. 3 2 2 5 a. 18y - 6y-15y b. 28c d - 14d 2 4 ( 6y ) 2 3 ( 2c ) 14 y - 2y - 5 d - d 1st find the ___ for the coefficients, then the _______ and _____ them together. 2nd write what you ________. gcf variable mult. have left To check your answers multiply out. ( 6y - 2y- 5 ) 2 3y = - 6y 2 -15y 3 18y = 5 2 4 2 - 14d ( 2c - d ) 28c d 14d
4. Simplify 2 -10z + 5z 5z 5z (-2z + 1) 1. Factorthe numerator 5z 5z (-2z + 1) 5z 2. Cancel only the monomial * _____ cancel part of a binomial. -2z + 1 Never
2 3 4 5 5. Find the GCF of 12a b , 6ab , 24ab . 3 4 5 For: 12, 6, 24 a , a, a b , b , b 2 3 6 a b 3 GCF = 6ab 2 3 4 5 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 left factored out 3 2 6ab ( 2a ) + b - 4b