Algebra Review Through 11.7 2016 ink.notebook
April 18, 2017
page 155
page 156
Review
Through
11.7
How would you factor each?
Which method should you use?
3 terms
2 terms
GCF
GCF
Square
Roots
(perfect squares
and subtraction)
4 terms
Grouping
1. x
Diamonds
with
grouping
(has coefficient
other than one
in front of x2)
Diamonds
(has 1x2)
Square
Roots
(perfect squares
and third terms
is positive)
2
+ 10x + 24
A) What's in Common?
2.
2x2 + 7x + 3
B) Square Roots-Differences
3.
3x2 + 6x - 12
C) Grouping
4.
x2 + 6x + 9
D) Diamonds
5.
x2 - 16
E) Diamonds and Grouping
6. x2 + 6x -2x - 12
F) Square
Roots-Perfect Trinomial
1
Algebra Review Through 11.7 2016 ink.notebook
April 18, 2017
On the
Worksheet
Algebra Review Through 11.7 1. 4x2 – 49
2. 20x2 – 15x
How would you factor each? Name the type of factoring and EXPLAIN why you choose that method. Do NOT actually factor out.
2
Algebra Review Through 11.7 2016 ink.notebook
3. x2 – 5x – 36 4. 5x2 – 20x + 3x – 12 April 18, 2017
5. 3x2 + 3x – 6
6. 3x2 + 5x – 2 Factor each expression completely.
7. 12x2 – 28x 8. 5x2 + 20x + 3x + 12 9. 3x2 – 9x – 54
10. 9x2 – 25 3
Algebra Review Through 11.7 2016 ink.notebook
11. 4x2 + 12x + 2x + 6 12. 3x2 + 27x + 60
15. 3x2 + x – 2 April 18, 2017
13. x2 – x – 30 16. 12x – 18y
14. 2n2 – 24n – 90 17. x2 + 4x – 32
4
Algebra Review Through 11.7 2016 ink.notebook
18. 4x2 – 12x + 9 19. 16x2 – 81y2
21. 4x2 + 5x – 6 April 18, 2017
20. 6x2 – 21x + 8x – 28 22. x2 – 2x – 48
23. 49x2 + 112x + 64
5
Algebra Review Through 11.7 2016 ink.notebook
24. 2x2 – 3x – 35 April 18, 2017
Answers:
1. Square roots – 1st and last term are perfect squares 3. Diamonds – 3 terms with a lead coefficient not 1
5. GCF and Diamonds – 3 terms and can divide the leading coefficient out 7. 4x(3x – 7) 9. (3(x – 6)(x + 3) 11. 2(x2 + 6x + x + 3), 2(2x + 1)(x + 3) 13. (x – 6)(x + 5) 15. (3x – 2)(x + 1) 17. (x + 8)(x – 4) 19. (4x + 9y)(4x – 9y)
21. (4x – 3)(x + 2) 23. (7x + 8)(7x + 8)
6