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## 2# Long Division Polynomials

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**Graphic**Organizer vocabulary Division of Polynomials Synthetic Division 1. 2. 3. Long Division 1. 2. 1. 2. 3. 4.**vocabulary**Due Test Day Roots Zeros Rational Root Theorem Remainder Theorem Factor Theorem Synthetic Division Prime Factors**What does it mean to factor a number into its prime factors?**what times what equals … 90 462**yesterday**3x y z + 12xyz – 4xy z3xyz 3 2 2 3 Simple Division 3x y z + 12xyz – 4xy z 3 2 3 2 3xyz 3xyz 3xyz**Polynomial Division**Long Divisionis very similar to Polynomial Division**Long Division**2 3 8 6 5 Will 3 go into 2? NO 3 2597 2597 3 5 9 7 -( ) 24 Will 3 go into 25? YES 1 9 18 -( ) 7 1 -( ) 15 2**Polynomial Division**-7 3x+1 2 -2x +4 x 3 2 3x+13x -5x +10x - 3 3 2 -( ) 3x +1x - 2 -6x + 10x Look at 1st term 2 3 -( ) -6x - 2x + + 3x( ?? ) = 3x x2 12x - 3 -( ) 12x + 4 - -7**Think**Think Think example Multiply: 6x2(x – 2). Subtract. Multiply: –7x(x – 2). Subtract. Multiply: 2(x – 2). Subtract.**Polynomial Division**Notice that there is no x term. However, we need to include it when we divide.**Polynomial Division**-( ) -( ) -( )**Try This**• Answer:*******application**Long Division worksheet Due next class