Mathematics 9th Grade, Week 4 Assignment: Factoring Polynomials. Factor out
the common factor: 1. 4 x2. +8 x+12. 2. 3 x2. +3 x y3 x. 3. 4 a3. 4a2 b+8a2. 4.
Mathematics 9th Grade, Week 4 Assignment: Factoring Polynomials Factor out the common factor: 2
1.
4 x +8 x +12
2.
3 x 2 +3 x y−3 x
3.
4 a −4 a b+8 a
4.
x 4 y 3 z−x 3 y 2 z 3+ x 4 y z 2
5.
−18 x−12 y
6.
−5 a b+5 a b+10 a b
7.
m7 n6−m3 n9
8.
a b +a b
3
2
2
2
7
4
6
2
3
Factor by grouping (first factor out common factor where possible): 9.
a c−a d +b c−b d
10. 3 x 2−15 x + x y+ 5 y 11. 14 m n+56 m−21 n−84 12. a 2−3 a b+ 2 b2 13. 2 x 2 +5 x y−3 y 2 14.
x 2−x y + x 2 y−x y 2
15. a m+b m+2 m+ a+ b+2 16.
s 2 t +2 s t 2−3 s t−s−2 t+ 3
Factor the trinomials: 17.
x 2 +7 x +6
18. a 2−8 a +12 19.
x 2 + x−56
20.
x −2 x−15
2
21. 3 x 2 +15 x+18 22. −2 x 4−2 x 3 +4 x 2 23. −4 a 2 b2 + 20 a b 2 +56 b2 24. 2 y−y 2− y 3 25. 2 x 2 +7 x +3 26. 15 x 2+ 14 x−8 27. 3 x 2−13 x +12 28. 2 x 2−x−15 29. 4 a 4+ 16 a 3+15 a 2 30. 12 m3 n2−m2 n2−m n2 Factor by using special products: 31.
