Algebra II

• To provide a quality mathematics background in order for you to succeed in future endeavors.

2

• Follow school rules• No cell phone during instruction• Class starts when you walk in door• Bring appropriate materials• Make-up work• Tutoring• Work, Work, Work!!!

3

40% Tests40% Daily20% Exam

4

Calculator Scientific and Graphing

BinderPaperPencilsGraph Paper

5Algebra II

• AAA Batteries• Expo Markers• Kleenex• Paper Towels

6Algebra II

NotesAssignmentsHW answers

7

• apryle.douglas@lamarcountyschools.org

)

8

Algebra II

Factoring Polynomials

• Greatest Common Factor• Difference of Two Squares• Sum/Difference of Two Cubes• Trinomials• Grouping

10

11

1. 16x3 – 12x2 + 4x 2. 15xy2 – 25x2y

GCF: 4x4x(4x2 – 3x + 1)

GCF: 5xy5xy(3y – 5x)

3. 27m3p2 + 9mp - 54p2 4. 10x – 40y

12

GCF: 9p

9p(3m3p + m – 6p)

GCF: 10

10(x – 4y)

13

(2x – 3)(2x + 3)

(3x – y)(3x + y)

NOT A DIFF.

(1 – 5y)(1 + 5y)

(7y2 – 3z)(7y2 + 3z)

(9p – 5)(9p + 5)

14

(x + 2)(x – 14)

(x – 2)(x + 5)

(x + 5y)(x + 7y)

(y2 – 4)(y2 – 6)(y – 2)(y + 2)(y2 – 6)

(x – 3)(x – 5)

(p – 5)(p + 8)

15

(3x – 2)(x – 5)

(2x – 3z)(2x + 1z)

(7x – 1)(7x – 1)

(4y + 1)(4y + 1)

(5x + 7)(x + 2)

(3p – 5q)(p + 2q)

16

(m – 4n)(8m + 3n)

(3x + 1)(4x + 5)

prime

(2y + 1z)(8y – 3z)

(3x + 2)(3x + 2)

(2p – 1)(3p – 5)

1. x3 + 8

(x + 2)(x2– 2x + 4)

2. 8x3 – 1

(2x – 1)(4x2+2x+1)

3. x3 – 27

(x – 3)(x2 + 3x + 9)

4. 8x3 – 125y6

(2x–5y2)(4x2+10xy2+25y4)

17

5. 25x4 – 36

**Not a Perfect Cube**

(5x2 – 6)(5x2+ 6)

6. 8x3 + 27

(2x +3)(4x2 – 6x+9)

7. 125x9 – 27y3

(5x3–3y)(25x6+15x3y+9y2)

7. 9x8 – 25y6

**Not a Perfect Cube**

(3x4 – 5y3)(3x4 + 5y3)

18

1. x3 – 2x2 – 9x + 18

(x3 – 2x2) + (–9x + 18)

x2(x – 2) – 9(x – 2)

(x – 2)(x2 – 9)

(x – 2)(x – 3)(x + 3)

2. bx2 + 2a + 2b + ax2

(bx2 + 2a) + (2b + ax2)

No GCF, so reorder.

(bx2+2b) + (2a + ax2)

b(x2 + 2) + a(2 + x2)

(x2 + 2)(b + a)

19

3. 8x3 – 12x2 – 2x + 3

(8x3 – 12x2) + (–2x + 3)

4x2(2x – 3) –1(2x – 3)

(2x – 3)(4x2 – 1)

(2x – 3)(2x – 1)(2x + 1)

4. 2x3 – x2 + 2x – 1

(2x3 – x2) + (2x – 1)

x2(2x – 1) + 1(2x–1)

(2x – 1)(x2 + 1)

20

1. 16x4 – 81

2. 2x6 – 6x4 – 20x2

3. 8x3 – 343

4. x4 – 6x2 – 27

5. 3x3 – 7x2 –12x + 28

6. 3x4 – x2 – 4

21

22Algebra II

3(x2 – 9)3(x – 3)(x + 3)

4(x2 + x – 2)4(x – 1)(x + 2)

5(x2 – 4)5(x – 2)(x + 2)

2(7x2 + x – 6)2(7x – 6)(x + 1)

23Algebra II

2u(u + 4)

2(5x2 + 17x + 14)2(5x + 7)(x + 2)

4x2(x2 – 16)4x2(x – 4)(x + 4)

3(10x2 – 19x + 7)3(2x – 1)(5x – 7)