algebra ii. to provide a quality mathematics background in order for you to succeed in future...
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Algebra II
• To provide a quality mathematics background in order for you to succeed in future endeavors.
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• 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!!!
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40% Tests40% Daily20% Exam
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Calculator Scientific and Graphing
BinderPaperPencilsGraph Paper
5Algebra II
• AAA Batteries• Expo Markers• Kleenex• Paper Towels
6Algebra II
NotesAssignmentsHW answers
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Algebra II
Factoring Polynomials
• Greatest Common Factor• Difference of Two Squares• Sum/Difference of Two Cubes• Trinomials• Grouping
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1. 16x3 – 12x2 + 4x 2. 15xy2 – 25x2y
GCF: 4x4x(4x2 – 3x + 1)
GCF: 5xy5xy(3y – 5x)
3. 27m3p2 + 9mp - 54p2 4. 10x – 40y
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GCF: 9p
9p(3m3p + m – 6p)
GCF: 10
10(x – 4y)
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(2x – 3)(2x + 3)
(3x – y)(3x + y)
NOT A DIFF.
(1 – 5y)(1 + 5y)
(7y2 – 3z)(7y2 + 3z)
(9p – 5)(9p + 5)
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(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)
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(3x – 2)(x – 5)
(2x – 3z)(2x + 1z)
(7x – 1)(7x – 1)
(4y + 1)(4y + 1)
(5x + 7)(x + 2)
(3p – 5q)(p + 2q)
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(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)
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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)
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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)
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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)
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1. 16x4 – 81
2. 2x6 – 6x4 – 20x2
3. 8x3 – 343
4. x4 – 6x2 – 27
5. 3x3 – 7x2 –12x + 28
6. 3x4 – x2 – 4
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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)