Nt1310 Unit 1 Exercise 2

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Algebra 3 chapter Factors of 3xy: 1, 3, x, y, 3 x, 3 y, xy and 3 xy Factors of 6 x 2 y: 1, 2, 3, 6, x, 2 x, 3 x, 6 x, x 2 , 2 x 2 , 3x 2 , 6x 2 , y, 2y, 3 y, 6 y, xy, 2 xy, 3 xy , 6 xy, x 2 y, 2x 2 y, 3x 2 y and 6x 2 y We see that the highest common factor (HCF) of 3xy and 6 x 2 y is 3xy. 3.5 Example 18 Find the highest common factor of the following pairs of terms. a 3b and 12 b 4 x and 6 x 2 c 15 x 2 y and 20 xy2 Working a The HCF of 3b and 12 is 3. Reasoning Factors of 3b : 1, 3 , b , 3b Factors of 12: 1, 2, 3 , 4, 6, 12 b The HCF of 4 x and 6 x 2 is 2x . Factors of 4x : 1, 2, 4, x, 2 x , 4 x Factors of 6 x 2 : 1, 2, 3, 6, x, 2 x , 3x, 6x, x 2 , 2 x 2 , 3x 2 , 6 x 2 c The HCF of 15 x 2 y and 20 xy2 is 5xy . Factors of 15

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