Quiz #7 Multiply:

4.6, 4.7, 4.8.notebook
July 19, 2016
Quiz #7 Multiply:
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4.6, 4.7, 4.8.notebook
July 19, 2016
4.6 Special Products
(Binomial)(Binomial)
F.O.I.L.
(3x2 + 4)(7x ­ 5)
First
Outside
Inside
Last
(3x + 2)(4x + 5) =
You try: (5w ­ 8)(3w ­ 7) =
2
4.6, 4.7, 4.8.notebook
July 19, 2016
Even specialer products:
(A + B)(A + B)
(A ­ B)(A ­ B)
(A + B)(A ­ B)
(2x + 3)(2x + 3)
(2x ­ 3)(2x ­ 3)
(2x ­ 3)(2x + 3)
3
4.6, 4.7, 4.8.notebook
July 19, 2016
4.7 Polynomials with Multiple Variables
Key idea: Like Terms
x2yz
2xy2z
3x2y2z
4x2yz
5xyz3
Example: (5x2y ­ 3xy2)(2xy ­ 7) =
Side note: Descending Order
7x2y2 + 5xy3 ­ 2x4 ???
4
4.6, 4.7, 4.8.notebook
July 19, 2016
4.8 Division
Easy type: (Polynomial)÷(Monomial)
(8a7 ­ 14a6 ­ 10a4 + 2a3)÷(­2a2)
What if? (8a5 ­ 14a4 ­ 10a2 + 2a)÷(­2a3)
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4.6, 4.7, 4.8.notebook
July 19, 2016
Skill refresher: 59639 ÷ 17
Steps:
1) Divide
2) Multiply
3) Subtract
4) Bring Down
Hard type: (Polynomial)÷(Polynomial)
Steps:
(6k3 ­ 11k2 +13k ­ 9) ÷(2k ­ 3)
1) Divide
2) Multiply
3) Subtract
4) Bring Down
6
4.6, 4.7, 4.8.notebook
Tricky cases:
(6k3 ­ 14k2 +13k ­ 9) ÷(2k2 ­ 3)
July 19, 2016
Steps:
1) Divide
2) Multiply
3) Subtract
4) Bring Down
(6t4 ­ 3t2 + t ­ 4)÷(t + 2)
Steps:
1) Divide
2) Multiply
3) Subtract
4) Bring Down
(x3 + 9x2 + 19x ­ 16)÷(x2 + 4x ­ 3)
Steps:
1) Divide
2) Multiply
3) Subtract
4) Bring Down
7