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5*MAT-115: INTERMEDIATE ALGEBRA Written Assignment 6 6.1: Greatest Common Factor and Factor by Graphing Find the greatest common factor. 1. 10 abc, 2 ac 5*2*a*b*c 2ac 2*a*c 2. 2 ab, 4 bc ,ac 2*a*b 2*2*b*c 1 a*c 3. 6 x 2 , 3 x 3 3*2*x*x 3*x*x 3x 2 Factor the greatest common factor. 4. 21 x 3 18 x 3*7*x*x*x 3x(7x 2 -6) 3*3*2*x 5. 6 w 3 + 12 w 2 6 3*2*w*w*w 3*2*2*w*w 6(w 3 +2w 2 -1) 3*2 6. 15 a 3 b + 18 ab 2 3*5*a*a*a*b 3ab(5a 2 +6b) 3*3*2*a*b*b Factor by grouping. 7. 2 x 3 4 x 2 + 5 x 10 2x 3 -4x 2 5x-10 2x 2 (x-2)+5(x-2) 8. 5 w 3 4 w 2 + 25 w 20 5w 3 -4w 2 25w-20 w 2 (5w-4)+5(5w-4) 9. 15 y 3 9 y 2 + 5 y 3 15y 3 -9y 2 5y-3 3y 2 (5y-3)-1(-y+3) Copyright © 2018 by Thomas Edison State University. All rights reserved.
6.2: Factor Trinomials Factor. 10. x 2 + 4 x + 3 (x+1) (x+3) 11. m 2 + m 90 (m+10) (m-9) 12. w 2 10 w + 9 (w-1)(w-9) 13. y 2 + 2 y 24 ¿ (y+6)(y-4) 14. 6 w 2 19 w + 10 - 5*3w =15w -2w*2=4w (2w-5)(3w-2) 15. 6 x 2 + 17 y 14 Prime if 17y should be 17x (2x+7)(3x-2) 16. 4 y 2 + 17 y 15 (y+5) (4y-3) 17. 4 m 2 + 7 m 2 (m+2)(4m-1) 6.3: Factor Special Products Factor.

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