1. FactoringTrivia Review
Analytic Geometry
FactoringTrivia Review

2. DOTS (Difference of two squares) (4𝑛+3)(4𝑛−3)
Identify the following expression as a PST or DOTS then factor it. 16 𝑛 2 −9
DOTS (Difference of two squares)
(4𝑛+3)(4𝑛−3)

3. Factor 7𝑎𝑐+56𝑎𝑘−3𝑏𝑐−24𝑏𝑘
(7a-3b)(c+8k)

4. Factor 5 𝑥 2 −9𝑥−2
(𝑥−2)(5𝑥+1)

5. 𝑥 2 +12𝑥+35
Factor.
(𝑥+7)(𝑥+5)

6. Factor.
2 𝑥 2 −6𝑥+5𝑥−15
(2𝑥+5)(𝑥−3)

7. Factor. − 𝑥 2 −3𝑥+18
−(𝑥+6)(𝑥−3)

8. Factor. 8 𝑎 8 −2
2(4 𝑎 8 −1)

9. Factor. 𝑥 2 −15𝑥+44
(𝑥−4)(𝑥−11)

10. Factor 𝑛 𝑛 2 −32𝑛 −24
(7 𝑛 2 −8)(4𝑛+3)

11. Factor completely.
4 𝑥 2 +24𝑥−28
4(𝑥−1)(𝑥+7)

12. Factor Completely. 9 𝑥 2 −24𝑥+16
3𝑥−4 2

13. A _____is a trinomial where the 1st and last terms are perfect squares and the middle term is the product of the square roots of first and last term doubled.
PST or Perfect Square Trinomial

14. Identify the following as a PST or DOTS: 9 𝑥 2 −24𝑥+16
PST (perfect square trinomial)

15. Factor 60 𝑦 6 𝑥+20 𝑦 5 𝑥 −50 𝑦 6
10 𝑦 5 (6𝑥𝑦+2𝑥−5𝑦)

16. Factor. 𝑝 2 +7𝑝−8
(𝑝−1)(𝑝+8)

17. Factor the common factor. 32 𝑥 2 𝑦+72 𝑥 2 −40
8(4 𝑥 2 𝑦+9 𝑥 2 −5)

18. Factor 𝑥 2 −125 𝑦 2
5(3𝑥+5𝑦)(3𝑥−5𝑦)

19. Factor 𝑏 3 −20 𝑏 2 −𝑏+4
(5 𝑏 2 −1)(𝑏−4)

20. Factor. 4 𝑚 2 −1
(2𝑚−1)(2𝑚+1)

21. Factor. 4 𝑥 2 +11𝑥+6
(𝑥+2)(4𝑥+3)

22. Identify the following as DOTS or PST then factor accordingly

23. Factor. 𝑚 2 +𝑚−2
(𝑚−1)(𝑚+2)

24. Factor. 9 𝑥 2 −18𝑥+8
(3𝑥−4)(3𝑥−2)