1) The document provides instructions to complete skill builders from a math book, factoring expressions like 5x - 35, -12mn + 2m, and x2 - 10x + 5x - 2x y. 2) Several examples are given of completely factoring expressions such as 2x - 2 + 3(x - 2), 4y2x + 3 + (-2x - 3), and m2 - 10y + 5m - 2my. 3) Students are instructed to find the factors of expressions like 8z + 10z2, 6y2 - 9y, 16v4 + 4v6, and 25s3 + 5s.

12. Answer all the Skill Builder on
your book. Pages 5,6,7 and 9.

13. Skill Builder 1
Express the following as a product of two or
more terms.
5x - 35
5 (x - 7)
-12mn + 2m
-2m (6n - 1) 2m (-6n + 1)or

14. Skill Builder 1
Express the following as a product of two or
more terms.
3𝑔3
+ 27g2
− 15g
3g (g2 - 5)
𝑣5
𝑤5 (𝑣4
+𝑤4
)
+ 9g
𝑣9
𝑤5
+ 𝑣5
𝑤9

15. Skill Builder 2
Factor the following completely.
2 𝑥 − 2 + 3(𝑥 − 2)
(x – 2) (2 + 3)
(2𝑦 + 3) (4𝑣 - 1)
4𝑣 2𝑦 + 3 + (−2𝑦 − 3)
4𝑣 2𝑦 + 3 +(−1)(2𝑦 + 3)

16. Skill Builder 3
Factor the following completely.
𝑓 + 3 𝑓 − 1 + (𝑓 + 5)(𝑓 + 3)
(f + 3)[(𝑓 − 1)+(𝑓 + 5)]
(𝑑 − 6) [(2𝑒 − 3) +(𝑒 + 1)]
𝑑 − 6 2𝑒 − 3 + (𝑑 − 6)(𝑒 + 1)
(𝑓 + 3)(2𝑓 + 4)
(𝑑 − 6)(3𝑒 − 2)

17. Skill Builder 4
Factor 𝑚2 − 10𝑛 + 5𝑚 − 2𝑚𝑛.
𝑚2
− 10𝑛 + 5𝑚 − 2𝑚𝑛
(𝑚2
+5𝑚) +(−10𝑛 − 2𝑚𝑛)
𝑚 𝑚 + 5 + (−2𝑛)(5 + 𝑚)
(m+5)(m-2n)

18. Find the factors of each
expression.
EASY
1. 8𝑎 + 10𝑎2
2. 6𝑛2 − 9𝑛
3. 16𝑝4 + 4𝑝6
4. 25𝑚3 + 5𝑚
5. 15𝑛3 + 12𝑛
6. 20𝑥4 + 5𝑛5
7. 15𝑦5 − 3𝑦2
8. 6 + 10𝑏
9. 6𝑏6 + 10𝑏3
10. 25𝑝 + 10