Algebra I - Unit 8: Topic 1 – Greatest Common Factor

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5 3

4 2

4 2

4 2

. 2( 3 4 )

B. 2 (5 3 4)

. 2 (5 3 4 )

. 2 (5 3 4)

A e e ee e e

C e e e eD e e e

Student Notes – Greatest Common Factor pp 524 – 537 Find the GCF of the given monomials. 1. 16, 24 2. 15y3, -20y2 3. 21p2q, 35pq2 4. 13q4, 2p2 5. 14ab2c, 21a2b3c 6. 2 2 2 3 3 2 460 ,45 ,30r s t r t r st Factor the polynomial expression. 7. � �2 3 224 56 8a x ax x 8. � �2 214 18 4xz xz x z 9. � �2 3 3 2 2 4 235 40 20a b c a b c a b c 10. 11. 12. � � �5 310 6 8e e e

A.

B.

C.

D.

Greatest Common Factor (GCF) -

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� �4 3 72 4 12x x x � �222 44 11ax x ax

32x

� �2 2 52 ( 2 6 )x x x x

� �3 42 ( 2 6 )x x x

� �4 4 3 72 ( 2 6 )x x x x

The product of the greatest integer and the greatest power of each variable that divides evenly into each term.

Algebra I - Unit 8: Topic 1 – Greatest Common Factor Practice – Greatest Common Factor pp 524 – 537 Name ____________________________________ Date _________________________ Period___________________ Find the GCF of the given monomials. 1. 26x y , 242x 2. 4 3 3 3 2 38 , 4 , 12x y x y x y 3. 4 2 6 2 49 , 56r s d w n Factor the polynomial expression. 4. � �4 212 8 6h h h 5. � � 215 10f f 6. � �3 2 3 2 332 40 16a b c a bc abc 7. 2 232 16 2jk j k jk� � 8. �3 2 4 3 212 8x y z x yz 9. � �5 3 29 27 45a a a

A. � �5 3 29( 27 45 )a a a

B. 29a

C. � �2 39 ( 3 5)a a a

D. � �2 33 (3 9 15)a a a