4.6, 4.7, 4.8.notebook July 19, 2016 Quiz #7 Multiply: 1 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) 5 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
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